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ARONSONS SEQUENCE

  • Aronson's sequence
  • Sequence of numbers

    Aronson's sequence is an integer sequence defined by the English sentence "T is the first, fourth, eleventh, sixteenth, ... letter in this sentence."

    Aronson's sequence

    Aronson's_sequence

  • Fibonacci sequence
  • Numbers obtained by adding the two previous ones

    Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known

    Fibonacci sequence

    Fibonacci sequence

    Fibonacci_sequence

  • Kaprekar's routine
  • Iterative algorithm on numbers

    -\beta } to produce the next number of the sequence. Repeat step 2. The sequence is called a Kaprekar sequence and the function K b ( n ) = α − β {\displaystyle

    Kaprekar's routine

    Kaprekar's_routine

  • Composite number
  • Integer having a non-trivial divisor

    15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36. (sequence A002808 in the OEIS) Every composite number can be written as the product

    Composite number

    Composite number

    Composite_number

  • Power of 10
  • Ten raised to an integer power

    ten are: 1, 10, 100, 1,000, 10,000, 100,000, 1,000,000, 10,000,000... (sequence A011557 in the OEIS) In decimal notation the nth power of ten is written

    Power of 10

    Power of 10

    Power_of_10

  • Triangular number
  • Figurate number

    The triangular numbers or triangle numbers are the sequence of positive integers that can be represented as a lattice of points arranged in an equilateral

    Triangular number

    Triangular number

    Triangular_number

  • Natural number
  • Number used for counting

    objects "larger", than the other. A sequence is a list of objects in a specific order. More precisely, a sequence is a function that assigns an object

    Natural number

    Natural number

    Natural_number

  • 208 (number)
  • Natural number

    number, a rhombic matchstick number, a happy number, and a member of Aronson's sequence. There are exactly 208 five-bead necklaces drawn from a set of beads

    208 (number)

    208_(number)

  • Catalan number
  • Recursive integer sequence

    The Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named

    Catalan number

    Catalan number

    Catalan_number

  • Smith number
  • Type of composite integer

    706, 728, 729, 762, 778, 825, 852, 861, 895, 913, 915, 922, 958, 985. (sequence A006753 in the OEIS) W.L. McDaniel in 1987 proved that there are infinitely

    Smith number

    Smith_number

  • Smarandache–Wellin number
  • Concatenation of the first n prime numbers

    1033, 2297, 3037, 11927, ... (sequence A046284 in the OEIS). The indices of the Smarandache–Wellin primes in the sequence of Smarandache–Wellin numbers

    Smarandache–Wellin number

    Smarandache–Wellin_number

  • Lucky numbers of Euler
  • Mathematical concept

    40. Only 6 lucky numbers of Euler exist, namely 2, 3, 5, 11, 17 and 41 (sequence A014556 in the OEIS). Note that these numbers are all prime numbers. The

    Lucky numbers of Euler

    Lucky_numbers_of_Euler

  • Keith number
  • Type of number introduced by Mike Keith

    True sequence = [] y = x while y > 0: sequence.append(y % b) y = y // b digit_count = len(sequence) sequence.reverse() while sequence[len(sequence) - 1]

    Keith number

    Keith_number

  • Lucky number
  • Integer filtered out using a sieve similar to that of Eratosthenes

    Sloane, N. J. A. (ed.). "Sequence A031157 (Numbers that are both lucky and prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Guy,

    Lucky number

    Lucky_number

  • Perfect number
  • Number equal to the sum of its proper divisors

    function s(n) = σ(n) − n, and the aliquot sequence associated with a perfect number is a constant sequence. All perfect numbers are also S {\displaystyle

    Perfect number

    Perfect number

    Perfect_number

  • Square number
  • Product of an integer with itself

    \lfloor x\rfloor } represents the floor of the number x. The squares (sequence A000290 in the OEIS) smaller than 602 = 3600 are: 02 = 0 12 = 1 22 = 4

    Square number

    Square number

    Square_number

  • Untouchable number
  • Number that cannot be written as an aliquot sum

    324, 326, 336, 342, 372, 406, 408, 426, 430, 448, 472, 474, 498, ... (sequence A005114 in the OEIS). Unsolved problem in mathematics Are there any odd

    Untouchable number

    Untouchable_number

  • Happy number
  • Numbers with a certain property involving recursive summation

    1^{2}+0^{2}=1} . On the other hand, 4 is not a happy number because the sequence starting with 4 2 = 16 {\displaystyle 4^{2}=16} and 1 2 + 6 2 = 37 {\displaystyle

    Happy number

    Happy number

    Happy_number

  • Harshad number
  • Integer divisible by sum of its digits

    harshad number many times over. So-called Trans-harshad numerals are sequences of the digits 0-9 which, in every base which uses all their digits, represent

    Harshad number

    Harshad_number

  • Primitive abundant number
  • Abundant number whose proper divisors are all deficient numbers

    abundant numbers are: 20, 70, 88, 104, 272, 304, 368, 464, 550, 572 ... (sequence A071395 in the OEIS) The smallest odd primitive abundant number is 945

    Primitive abundant number

    Primitive abundant number

    Primitive_abundant_number

  • Super-Poulet number
  • Type of Poulet number

    and a super-Poulet number. The super-Poulet numbers below 10,000 are (sequence A050217 in the OEIS): It is relatively easy to get super-Poulet numbers

    Super-Poulet number

    Super-Poulet_number

  • Abundant number
  • Number that is less than the sum of its proper divisors

    24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96 (sequence A005101 in the OEIS). For example, the proper divisors of 24 are 1, 2,

    Abundant number

    Abundant number

    Abundant_number

  • Superior highly composite number
  • Class of natural numbers with many divisors

    5040, 55440, 720720, 1441440, 4324320, 21621600, 367567200, 6983776800 (sequence A002201 in the OEIS) are also the first 15 colossally abundant numbers

    Superior highly composite number

    Superior highly composite number

    Superior_highly_composite_number

  • 237 (number)
  • Natural number

    and preceding 238. 237 is a lucky number, and one of the numbers in Aronson's sequence. The 237th square pyramidal number, 4465475, is also a sum of two

    237 (number)

    237_(number)

  • Cyclic number
  • Integer whose multiples are digit rotations

    necessary structure given in the next section. Allowing leading zeros, the sequence of cyclic numbers begins: (106 − 1) / 7 = 142857 (6 digits) (1016 − 1)

    Cyclic number

    Cyclic_number

  • Semiprime
  • Product of two prime numbers

    51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, and 95 (sequence A001358 in the OEIS) Semiprimes that are not square numbers are called

    Semiprime

    Semiprime

  • Evil number
  • Class of binary number

    These numbers give the positions of the zero values in the Thue–Morse sequence, and for this reason they have also been called the Thue–Morse set. Non-negative

    Evil number

    Evil_number

  • Palindromic number
  • Number that remains the same when its digits are reversed

    131, 151, ... (sequence A002385 in the OEIS). The palindromic square numbers are 0, 1, 4, 9, 121, 484, 676, 10201, 12321, ... (sequence A002779 in the

    Palindromic number

    Palindromic_number

  • Cake number
  • Concept in combinatorics

    lazy caterer's sequence. The values of Cn for n = 0, 1, 2, ... are given by 1, 2, 4, 8, 15, 26, 42, 64, 93, 130, 176, 232, ... (sequence A000125 in the

    Cake number

    Cake number

    Cake_number

  • Highly cototient number
  • Numbers k where x - phi(x) = k has many solutions

    509, 629, 659, 779, 839, 1049, 1169, 1259, 1469, 1649, 1679, 1889, ... (sequence A100827 in the OEIS) Many of the highly cototient numbers are odd. The

    Highly cototient number

    Highly_cototient_number

  • Friedman number
  • Number that is the result of operation on its own digits

    2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2592, 2737, 2916, ... (sequence A036057 in the OEIS). Friedman numbers are named after Erich Friedman,

    Friedman number

    Friedman_number

  • Padovan sequence
  • Sequence of integers

    In number theory, the Padovan sequence is the sequence of integers P(n) defined by the initial values: P ( 0 ) = P ( 1 ) = P ( 2 ) = 1 , {\displaystyle

    Padovan sequence

    Padovan sequence

    Padovan_sequence

  • Prime number
  • Number divisible only by 1 and itself

    19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence A000040 in the OEIS). No even number ⁠ n {\displaystyle n} ⁠ greater than

    Prime number

    Prime number

    Prime_number

  • Pandigital number
  • Integer whose representation contains every digit in its number base

    pandigital number in base 10. The first few pandigital base 10 numbers are (sequence A171102 in the OEIS): 1023456789, 1023456798, 1023456879, 1023456897, 1023456978

    Pandigital number

    Pandigital_number

  • Mersenne prime
  • Prime number of the form 2^n – 1

    31, ... (sequence A000043 in the OEIS) and the resulting Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, ... (sequence A000668 in

    Mersenne prime

    Mersenne_prime

  • Sierpiński number
  • Odd number with specific properties

    n − 1 {\displaystyle k\times 2^{n}-1} , then k is a Riesel number. The sequence of currently known Sierpiński numbers begins with: 78557, 271129, 271577

    Sierpiński number

    Sierpiński_number

  • Regular number
  • Numbers that evenly divide powers of 60

    45, 48, 50, 54, 60, ... (sequence A051037 in the OEIS) Several other sequences at the On-Line Encyclopedia of Integer Sequences have definitions involving

    Regular number

    Regular number

    Regular_number

  • Power of three
  • Three raised to an integer power

    powers of three are: 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, etc. (sequence A000244 in OEIS) The powers of three give the place values in the ternary

    Power of three

    Power of three

    Power_of_three

  • Bell number
  • Count of the possible partitions of a set

    203 , 877 , 4140 , … {\displaystyle 1,1,2,5,15,52,203,877,4140,\dots } (sequence A000110 in the OEIS). The Bell number B n {\displaystyle B_{n}} counts

    Bell number

    Bell number

    Bell_number

  • Lucas number
  • Infinite integer series where the next number is the sum of the two preceding it

    Lucas sequence is an integer sequence named after the mathematician François Édouard Anatole Lucas (1842–1891), who studied both that sequence and the

    Lucas number

    Lucas number

    Lucas_number

  • Star number
  • Centered figurate number

    11353, and 11881. (sequence A003154 in the OEIS) The digital root of a star number is always 1 or 4, and progresses in the sequence 1, 4, 1. The last two

    Star number

    Star number

    Star_number

  • Digit sum
  • Sum of a number's digits

    Encyclopedia of Integer Sequences. Borwein & Borwein (1992) use the generating function of this integer sequence (and of the analogous sequence for binary digit

    Digit sum

    Digit_sum

  • 226 (number)
  • Natural number

    of Aronson's sequence. At most 226 different permutation patterns can occur within a single 9-element permutation. Sloane, N. J. A. (ed.). "Sequence A007770

    226 (number)

    226_(number)

  • Hexagonal number
  • Type of figurate number

    h_{n}=2n^{2}-n=n(2n-1)={\frac {2n(2n-1)}{2}}.} The first few hexagonal numbers (sequence A000384 in the OEIS) are: 1, 6, 15, 28, 45, 66, 91, 120, 153, 190, 231

    Hexagonal number

    Hexagonal number

    Hexagonal_number

  • Power of two
  • Two raised to an integer power

    non-negative values of n are: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, ... (sequence A000079 in the OEIS) By comparison, powers of two with negative exponents

    Power of two

    Power of two

    Power_of_two

  • Fourth power
  • Result of multiplying four instances of a number together

    zenzizenzic, biquadrate or supercubed instead of "to the power of 4". The sequence of fourth powers of integers, known as biquadrates or tesseractic numbers

    Fourth power

    Fourth_power

  • Jacobsthal number
  • Numbers in a type of Lucas sequence

    integer sequence named after the German mathematician Ernst Jacobsthal. Like the related Fibonacci numbers, they are a specific type of Lucas sequence U n

    Jacobsthal number

    Jacobsthal_number

  • Highly composite number
  • Numbers with many divisors

    The first 41 highly composite numbers are listed in the table below (sequence A002182 in the OEIS). The number of divisors is given in the column labeled

    Highly composite number

    Highly_composite_number

  • Quasiperfect number
  • Numbers whose sum of divisors is twice the number plus 1

    5^{2}\times 13} . They are 20, 104, 464, 650, 1952, 130304, 522752, ... (sequence A088831 in the OEIS). Numbers n whose sum of factors equals 2 n − 2 {\displaystyle

    Quasiperfect number

    Quasiperfect_number

  • Repunit
  • Numbers that contain only the digit 1

    in base 10 representation. The sequence of repunits base-10 starts with 1, 11, 111, 1111, 11111, 111111, ... (sequence A002275 in the OEIS). Similarly

    Repunit

    Repunit

  • Fortunate number
  • Integer named after Reo Fortune

    37, 61, 67, 61, 71, 47, 107, 59, 61, 109, 89, 103, 79, 151, 197, ... (sequence A005235 in the OEIS). The Fortunate numbers sorted in numerical order with

    Fortunate number

    Fortunate_number

  • Double Mersenne number
  • Number of form 2^(2^p-1)-1 with prime exponent

    {\displaystyle p} is prime. The first four terms of the sequence of double Mersenne numbers are (sequence A077586 in the OEIS): M M 2 = M 3 = 7 {\displaystyle

    Double Mersenne number

    Double_Mersenne_number

  • Lychrel number
  • Number, non-palindrome after repeated sum with reverse

    a sequence of the first 126 numbers (125 of them never reported before) that take exactly 261 steps to reach a 119-digit palindrome. This sequence was

    Lychrel number

    Lychrel_number

  • Hemiperfect number
  • Number with a half-integer abundancy index

    4320, 4680, 26208, 8910720, 17428320, 20427264, 91963648, 197064960, ... (sequence A159907 in the OEIS) 24 is a hemiperfect number because the sum of the

    Hemiperfect number

    Hemiperfect_number

  • Odious number
  • Number with odd number of 1s in binary

    ), "Sequence A000069 (Odious numbers: numbers with an odd number of 1's in their binary expansion)", The On-Line Encyclopedia of Integer Sequences, OEIS

    Odious number

    Odious_number

  • List of integer sequences
  • is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to OEIS

    List of integer sequences

    List_of_integer_sequences

  • Achilles number
  • Numbers with special prime factorization

    3200, 3267, 3456, 3528, 3872, 3888, 4000, 4232, 4500, 4563, 4608, 5000 (sequence A052486 in the OEIS). The smallest pair of consecutive Achilles numbers

    Achilles number

    Achilles number

    Achilles_number

  • Motzkin number
  • Number of unique ways to draw non-intersecting chords in a circle

    1 , … {\displaystyle n=0,1,\dots } form the sequence: 1, 1, 2, 4, 9, 21, 51, 127, 323, 835, ... (sequence A001006 in the OEIS) The following figure shows

    Motzkin number

    Motzkin_number

  • Colossally abundant number
  • Type of natural number

    5040, 55440, 720720, 1441440, 4324320, 21621600, 367567200, 6983776800 (sequence A004490 in the OEIS) are also the first 15 superior highly composite numbers

    Colossally abundant number

    Colossally abundant number

    Colossally_abundant_number

  • Deficient number
  • Number that is more than the sum of its proper divisors

    31, 32, 33, 34, 35, 37, 38, 39, 41, 43, 44, 45, 46, 47, 49, 50, ... (sequence A005100 in the OEIS) As an example, consider the number 21. Its proper

    Deficient number

    Deficient number

    Deficient_number

  • Cullen number
  • Mathematical concept

    In mathematics, a Cullen number is a member of the integer sequence C n = n ⋅ 2 n + 1 {\displaystyle C_{n}=n\cdot 2^{n}+1} (where n {\displaystyle n} is

    Cullen number

    Cullen_number

  • Smooth number
  • Integer having only small prime factors

    the positive divisors of “the least common multiple of 1, 2, 3, …, n” (sequence A003418 in the OEIS), e.g. the 9-powersmooth numbers (also the 10-powersmooth

    Smooth number

    Smooth_number

  • Extravagant number
  • Number that has fewer digits than the number of digits in its prime factorization

    base 10, 4 = 22, 6 = 2×3, 8 = 23, and 9 = 32 are extravagant numbers (sequence A046760 in the OEIS). There are infinitely many extravagant numbers in

    Extravagant number

    Extravagant_number

  • Lucas–Carmichael number
  • Type of positive composite integer

    X^{K/\left(\log \log \log X\right)^{2}}} . The first few Lucas–Carmichael numbers (sequence A006972 in the OEIS) and their prime factors are listed below. Thomas Wright

    Lucas–Carmichael number

    Lucas–Carmichael_number

  • Superabundant number
  • Class of natural numbers

    few superabundant numbers are 1, 2, 4, 6, 12, 24, 36, 48, 60, 120, ... (sequence A004394 in the OEIS). For example, the number 5 is not a superabundant

    Superabundant number

    Superabundant_number

  • Carmichael number
  • Composite number in number theory

    seen with Korselt's criterion. The first seven Carmichael numbers are (sequence A002997 in the OEIS):     561 = 3 ⋅ 11 ⋅ 17 ( 2 ∣     560 ; 10 ∣     560

    Carmichael number

    Carmichael number

    Carmichael_number

  • Arithmetic number
  • Integer where the average of its positive divisors is also an integer

    and 2, and their average 3/2 is not an integer. The first numbers in the sequence of arithmetic numbers are 1, 3, 5, 6, 7, 11, 13, 14, 15, 17, 19, 20, 21

    Arithmetic number

    Arithmetic number

    Arithmetic_number

  • Figurate number
  • Size of a geometric arrangement of points

    Prime Sorting related Pancake number Sorting number Natural language related Aronson's sequence Ban Graphemics related Strobogrammatic Mathematics portal

    Figurate number

    Figurate number

    Figurate_number

  • Stirling numbers of the second kind
  • Numbers parameterizing ways to partition a set

    triangular array of values for the Stirling numbers of the second kind (sequence A048993 in the OEIS): As with the binomial coefficients, this table could

    Stirling numbers of the second kind

    Stirling numbers of the second kind

    Stirling_numbers_of_the_second_kind

  • Stirling number
  • Mathematical sequences in combinatorics

    three kinds is that they describe coefficients relating three different sequences of polynomials that frequently arise in combinatorics. Moreover, all three

    Stirling number

    Stirling_number

  • Woodall number
  • Number of the form (n * 2^n) - 1

    n. The first few Woodall numbers are: 1, 7, 23, 63, 159, 383, 895, … (sequence A003261 in the OEIS). Woodall numbers were first studied by Allan J. C

    Woodall number

    Woodall_number

  • Pronic number
  • Number, product of consecutive integers

    2550, 2652, 2756, 2862, 2970, 3080, 3192, 3306, 3422, 3540, 3660... (sequence A002378 in the OEIS). Letting P n {\displaystyle P_{n}} denote the pronic

    Pronic number

    Pronic_number

  • Semiperfect number
  • Number equal to the sum of all or some of its divisors

    first few semiperfect numbers are: 6, 12, 18, 20, 24, 28, 30, 36, 40, ... (sequence A005835 in the OEIS) Every multiple of a semiperfect number is semiperfect

    Semiperfect number

    Semiperfect number

    Semiperfect_number

  • Perrin number
  • Number sequence 3,0,2,3,2,5,5,7,10,...

    mathematics, the Perrin numbers are a doubly infinite constant-recursive integer sequence with characteristic equation x3 = x + 1. The Perrin numbers, named after

    Perrin number

    Perrin number

    Perrin_number

  • Fifth power (algebra)
  • Result of multiplying five instances of a number together

    number by its fourth power, or the square of a number by its cube. The sequence of fifth powers of integers is: 0, 1, 32, 243, 1024, 3125, 7776, 16807

    Fifth power (algebra)

    Fifth_power_(algebra)

  • Seventh power
  • Result of multiplying seven instances of a number

    number by its fifth power, or the cube of a number by its fourth power. The sequence of seventh powers of integers is: 0, 1, 128, 2187, 16384, 78125, 279936

    Seventh power

    Seventh_power

  • Tetrahedral number
  • Polyhedral number representing a tetrahedron

    tetrahedral numbers are: 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, ... (sequence A000292 in the OEIS) The formula for the nth tetrahedral number is represented

    Tetrahedral number

    Tetrahedral number

    Tetrahedral_number

  • Prime power
  • Power of a prime number

    powers, while 6 = 2 × 3, 12 = 22 × 3 and 36 = 62 = 22 × 32 are not. The sequence of prime powers begins: 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25

    Prime power

    Prime_power

  • Cube (algebra)
  • Number raised to the third power

    the cube of an integer. The non-negative perfect cubes up to 603 are (sequence A000578 in the OEIS): Geometrically speaking, a positive integer m is a

    Cube (algebra)

    Cube (algebra)

    Cube_(algebra)

  • Primary pseudoperfect number
  • Type of number

    (sequence A054377 in the OEIS). The first four of these numbers are one less than the corresponding numbers in Sylvester's sequence, but then

    Primary pseudoperfect number

    Primary pseudoperfect number

    Primary_pseudoperfect_number

  • Centered square number
  • Number of dots in a centred dot square

    2665, 2813, 2965, 3121, 3281, 3445, 3613, 3785, 3961, 4141, 4325, … (sequence A001844 in the OEIS). Each centered square number is the sum of successive

    Centered square number

    Centered_square_number

  • Strobogrammatic number
  • Numeral ambigram

    6969, 8008, 8118, 8698, 8888, 8968, 9006, 9116, 9696, 9886, 9966, … (sequence A000787 in the OEIS) The first few strobogrammatic primes are: 11, 101

    Strobogrammatic number

    Strobogrammatic number

    Strobogrammatic_number

  • Narayana number
  • Triangular array of natural numbers

    k}{n \choose k-1}} The first eight rows of the Narayana triangle read: (sequence A001263 in the OEIS) An example of a counting problem whose solution can

    Narayana number

    Narayana_number

  • Sublime number
  • Number that has a perfect number of factors adding up to another perfect number

    numbers: 12 and (2126)(261 − 1)(231 − 1)(219 − 1)(27 − 1)(25 − 1)(23 − 1) (sequence A081357 in the OEIS). The second of these has 76 decimal digits: 6,086

    Sublime number

    Sublime_number

  • Schröder–Hipparchus number
  • Number in combinatorics

    an integer sequence that can be used to count the plane trees with a given set of leaves, the ways of inserting parentheses into a sequence, and the ways

    Schröder–Hipparchus number

    Schröder–Hipparchus number

    Schröder–Hipparchus_number

  • Centered hexagonal number
  • Number that represents a hexagon with a dot in the center

    the associated hexagons share a vertex. The sequence of hexagonal numbers starts out as follows (sequence A003215 in the OEIS): 1, 7, 19, 37, 61, 91,

    Centered hexagonal number

    Centered hexagonal number

    Centered_hexagonal_number

  • Vampire number
  • Type of composite number with an even number of digits

    124483, 125248, 125433, 125460, 125500, ... (sequence A014575 in the OEIS) There are many known sequences of infinitely many vampire numbers following

    Vampire number

    Vampire_number

  • Harmonic divisor number
  • Positive integer whose divisors have a harmonic mean that is an integer

    numbers are 1, 6, 28, 140, 270, 496, 672, 1638, 2970, 6200, 8128, 8190 (sequence A001599 in the OEIS). Harmonic divisor numbers were introduced by Øystein

    Harmonic divisor number

    Harmonic_divisor_number

  • Pseudoprime
  • Probable prime that is composite

    Prime Sorting related Pancake number Sorting number Natural language related Aronson's sequence Ban Graphemics related Strobogrammatic Mathematics portal

    Pseudoprime

    Pseudoprime

  • Almost prime
  • Number with few prime factors

    Prime Sorting related Pancake number Sorting number Natural language related Aronson's sequence Ban Graphemics related Strobogrammatic Mathematics portal

    Almost prime

    Almost prime

    Almost_prime

  • Fermat number
  • Positive integer of the form (2^(2^n))+1

    4294967297, 18446744073709551617, 340282366920938463463374607431768211457, ... (sequence A000215 in the OEIS). If 2k + 1 is prime and k > 0, then k itself must

    Fermat number

    Fermat_number

  • Parasitic number
  • Number that when multiplied by another number moves its last digit to its front

    numbers posed by Freeman Dyson. They are: (leading zeros are not allowed) (sequence A092697 in the OEIS) In general, if we relax the rules to allow a leading

    Parasitic number

    Parasitic_number

  • Squared triangular number
  • Square of a triangular number

    visual proof. The sequence of squared triangular numbers is 0, 1, 9, 36, 100, 225, 441, 784, 1296, 2025, 3025, 4356, 6084, 8281, ... (sequence A000537 in the

    Squared triangular number

    Squared triangular number

    Squared_triangular_number

  • Octahedral number
  • Number of close-packed spheres in an octahedron

    octahedral numbers are: 1, 6, 19, 44, 85, 146, 231, 344, 489, 670, 891 (sequence A005900 in the OEIS). The octahedral numbers have a generating function

    Octahedral number

    Octahedral number

    Octahedral_number

  • Strong pseudoprime
  • Composite number which passes Miller–Rabin primality test

    53971, 79381, ... (sequence A020231 in the OEIS). For base 4, see (sequence A020230 in the OEIS), and for bases 6 to 100, see (sequence A020232 in the OEIS)

    Strong pseudoprime

    Strong_pseudoprime

  • Centered decagonal number
  • Centered figurate number that represents a decagon with a dot in the center

    31, 61, 101, 151, 211, 281, 361, 451, 551, 661, 781, 911, 1051, ... (sequence A062786 in the OEIS) Like any other centered k-gonal number, the nth centered

    Centered decagonal number

    Centered decagonal number

    Centered_decagonal_number

  • Pell number
  • Number used to approximate the square root of 2

    In mathematics, the Pell numbers are an infinite sequence of integers, known since ancient times, that comprise the denominators of the closest rational

    Pell number

    Pell number

    Pell_number

  • Ulam number
  • Mathematical sequence

    integer sequence devised by and named after Stanisław Ulam, who introduced it in 1964. The standard Ulam sequence (the (1, 2)-Ulam sequence) starts with

    Ulam number

    Ulam_number

  • Pentagonal number
  • Figurate number

    given above, but with n taking values in the sequence 0, 1, −1, 2, −2, 3, −3, 4..., producing the sequence: 0, 1, 2, 5, 7, 12, 15, 22, 26, 35, 40, 51,

    Pentagonal number

    Pentagonal number

    Pentagonal_number

  • Sum-product number
  • Number equal to the product of the sum and product of its digits

    {\displaystyle b} . In base 10, there are exactly four sum-product numbers (sequence A038369 in the OEIS): 0, 1, 135, and 144. Let n {\displaystyle n} be a

    Sum-product number

    Sum-product_number

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  • Krama
  • Boy/Male

    Indian, Sanskrit

    Krama

    Order; Sequence

    Krama

  • Aronos
  • Boy/Male

    Hebrew

    Aronos

    Lofty; exalted; high mountain.

    Aronos

  • Bronson
  • Surname or Lastname

    English

    Bronson

    English : variant of Brunson.

    Bronson

  • Ronson
  • Boy/Male

    American, Australian, British, English

    Ronson

    Son of Ronald

    Ronson

  • Bronson
  • Boy/Male

    English American Anglo Saxon German

    Bronson

    Son of a dark man.

    Bronson

  • Brownson
  • Surname or Lastname

    English

    Brownson

    English : variant of Brunson.John Brownson or Bronson was one of the original settlers of Hartford, CT, in 1635.

    Brownson

  • Bronsonn
  • Boy/Male

    British, English

    Bronsonn

    Son of a Dark Man

    Bronsonn

  • Ronson
  • Surname or Lastname

    English

    Ronson

    English : patronymic from a reduced form of Rowland.

    Ronson

  • Arunson
  • Boy/Male

    Indian, Malayalam

    Arunson

    Son of Sun

    Arunson

  • Alcott
  • Surname or Lastname

    English

    Alcott

    English : ostensibly a topographic name containing Middle English cott, cote ‘cottage’ (see Coates). In fact, however, it is generally if not always an alteration of Alcock, in part at least for euphemistic reasons.Louisa May Alcott (1832–88), author of Little Women (1869), was the daughter of Amos Bronson Alcott (1799–1888), who had changed the family name from Alcox. The family trace their descent from an Alcocke family who emigrated from England to MA with John Winthrop in 1629.

    Alcott

  • Hillary
  • Surname or Lastname

    English

    Hillary

    English : from a medieval male personal name (from Latin Hilarius, a derivative of hilaris ‘cheerful’, ‘glad’, from Greek hilaros ‘propitious’, ‘joyful’). The Latin name was chosen by many early Christians to express their joy and hope of salvation, and was borne by several saints, including a 4th-century bishop of Poitiers noted for his vigorous resistance to the Arian heresy, and a 5th-century bishop of Arles. Largely due to veneration of the first of these, the name became popular in France in the forms Hilari and Hilaire, and was brought to England by the Norman conquerors.English : from the much rarer female personal name Eulalie (from Latin Eulalia, from Greek eulalos ‘eloquent’, literally well-speaking, chosen by early Christians as a reference to the gift of tongues), likewise introduced into England by the Normans. A St. Eulalia was crucified at Barcelona in the reign of the Emperor Diocletian and became the patron of that city. In England the name underwent dissimilation of the sequence -l-l- to -l-r- and the unfamiliar initial vowel was also mutilated, so that eventually the name was considered as no more than a feminine form of Hilary (of which the initial aspirate was in any case variable).

    Hillary

  • Rhythm
  • Boy/Male

    Indian, Sikh

    Rhythm

    Music; In-sequence

    Rhythm

  • Tronson
  • Surname or Lastname

    English

    Tronson

    English : nickname for a short, fat man, from Middle English, Old French tronchon ‘piece broken off’ (Late Latin truncio, genitive truncionis, from truncus ‘lopped’, ‘cut short’). It is just possible that the nickname also denoted someone who carried a staff or cudgel as a symbol of office, but this sense of the word is not attested in English before the 16th century.French : from Old French tronson ‘block of wood’, perhaps a metonymic occupational name for a woodcutter.

    Tronson

  • Anuloma
  • Girl/Female

    Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu

    Anuloma

    Sequence

    Anuloma

  • Chip
  • Boy/Male

    English American

    Chip

    Man (from the Old English 'ceorl'). Famous Bearers: American movie star Charles Bronson;...

    Chip

  • Bronson
  • Boy/Male

    American, Anglo, Australian, British, Chinese, English, German, Indian

    Bronson

    Brown's Son; Son of the Dark-skinned One

    Bronson

  • Anuloma | அநுலோமா
  • Girl/Female

    Tamil

    Anuloma | அநுலோமா

    Sequence

    Anuloma | அநுலோமா

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Online names & meanings

  • Lone
  • Surname or Lastname

    Norwegian

    Lone

    Norwegian : habitational name from any of several farmsteads in southwestern Norway, named with Old Norse lón ‘calm, deep pool (in a river)’.English : variant of Lane.Muslim : unexplained.

  • Collene
  • Girl/Female

    Irish

    Collene

    Girl.

  • Elilaendhi
  • Boy/Male

    Indian, Tamil

    Elilaendhi

    Handsome

  • Mingu
  • Girl/Female

    Indian

    Mingu

    Illusion

  • Sayak
  • Boy/Male

    Hindu

    Sayak

    Weapon, Kind and helpful

  • Braeden
  • Boy/Male

    English Irish American

    Braeden

    Broad hillside.

  • Manita | மாநீதா
  • Girl/Female

    Tamil

    Manita | மாநீதா

    Together, Conversation with God, Honored

  • Prithiviraj
  • Boy/Male

    Indian, Tamil

    Prithiviraj

    Land God

  • Bahhas
  • Boy/Male

    Arabic

    Bahhas

    Scholar

  • Asmara |
  • Girl/Female

    Muslim

    Asmara |

    Beautiful butterfly

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Other words and meanings similar to

ARONSONS SEQUENCE

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ARONSONS SEQUENCE

  • Rapid
  • a.

    Advancing with haste or speed; speedy in progression; in quick sequence; as, rapid growth; rapid improvement; rapid recurrence; rapid succession.

  • Heterochrony
  • n.

    In evolution, a deviation from the typical sequence in the formation of organs or parts.

  • Sequence
  • n.

    Any succession of chords (or harmonic phrase) rising or falling by the regular diatonic degrees in the same scale; a succession of similar harmonic steps.

  • Sequence
  • n.

    That which follows or succeeds as an effect; sequel; consequence; result.

  • Sequence
  • n.

    Three or more cards of the same suit in immediately consecutive order of value; as, ace, king, and queen; or knave, ten, nine, and eight.

  • Sequacious
  • a.

    Having or observing logical sequence; logically consistent and rigorous; consecutive in development or transition of thought.

  • Seriality
  • n.

    The quality or state of succession in a series; sequence.

  • Sequence
  • n.

    Simple succession, or the coming after in time, without asserting or implying causative energy; as, the reactions of chemical agents may be conceived as merely invariable sequences.

  • Sequence
  • n.

    The state of being sequent; succession; order of following; arrangement.

  • Series
  • n.

    A number of things or events standing or succeeding in order, and connected by a like relation; sequence; order; course; a succession of things; as, a continuous series of calamitous events.

  • Straight
  • superl.

    Composed of cards which constitute a regular sequence, as the ace, king, queen, jack, and ten-spot; as, a straight hand; a straight flush.

  • Succession
  • n.

    The act of succeeding, or following after; a following of things in order of time or place, or a series of things so following; sequence; as, a succession of good crops; a succession of disasters.

  • Sequence
  • n.

    A hymn introduced in the Mass on certain festival days, and recited or sung immediately before the gospel, and after the gradual or introit, whence the name.

  • Sequence
  • n.

    A melodic phrase or passage successively repeated one tone higher; a rosalia.

  • Sequent
  • n.

    That which follows as a result; a sequence.

  • Rosalia
  • n.

    A form of melody in which a phrase or passage is successively repeated, each time a step or half step higher; a melodic sequence.

  • Tierce
  • n.

    A sequence of three playing cards of the same suit. Tierce of ace, king, queen, is called tierce-major.

  • Straight
  • n.

    A hand of five cards in consecutive order as to value; a sequence. When they are of one suit, it is calles straight flush.

  • Sequence
  • n.

    All five cards, of a hand, in consecutive order as to value, but not necessarily of the same suit; when of one suit, it is called a sequence flush.

  • Necessitarianism
  • n.

    The doctrine of philosophical necessity; the doctrine that results follow by invariable sequence from causes, and esp. that the will is not free, but that human actions and choices result inevitably from motives; deteminism.