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Search references for INTEGER SEQUENCE. Phrases containing INTEGER SEQUENCE
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Ordered list of whole numbers
In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. An integer sequence may be specified explicitly by giving a formula
Integer_sequence
Online database of integer sequences
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching
On-Line Encyclopedia of Integer Sequences
On-Line_Encyclopedia_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
Finite or infinite ordered list of elements
positions, is a valid sequence. Sequences can be finite, as in these examples, or infinite, such as the sequence of positive even integers (2, 4, 6, 8, ...)
Sequence
Endless sequence of integers
Neil Sloane, creator of the On-Line Encyclopedia of Integer Sequences (OEIS). Recamán's sequence a 0 , a 1 , a 2 … {\displaystyle a_{0},a_{1},a_{2}\dots
Recamán's_sequence
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A048102". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
1,000,000,000,000
Natural number
a member of Padovan sequence. 1086 = 2 × 3 × 181. It is a Smith number and the sum of totient function for the first 59 integers. 1087 is a prime number
1000_(number)
Academic journal
Journal of Integer Sequences is a peer-reviewed open-access academic journal in mathematics, specializing in research papers about integer sequences. It was
Journal_of_Integer_Sequences
Natural number
gods" sequence, obtained by concatenating decimal representations of positive integers. It is also the fifth member of a related integer sequence, obtained
1234_(number)
Numbers obtained by adding the two previous ones
so that the sequence starts with F1=F2=1. The first 21 Fibonacci numbers Fn are: The Fibonacci sequence can be extended to negative integer indices by
Fibonacci_sequence
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A006534". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
800_(number)
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences.
300_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01. "Sloane's A050918 : Woodall primes". The On-Line Encyclopedia of Integer Sequences. OEIS
7
Number in {..., –2, –1, 0, 1, 2, ...}
factorization of a positive integer Complex integer Hyperinteger Integer complexity Integer lattice Integer part Integer sequence Integer-valued function Mathematical
Integer
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS
100,000
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS
1,000,000,000
Open problem on 3x+1 and x/2 functions
The conjecture is that these sequences always reach 1, no matter which positive integer is chosen to start the sequence. The conjecture has been shown
Collatz_conjecture
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences.
600_(number)
Doubly exponential integer sequence
In number theory, Sylvester's sequence is an integer sequence in which each term is the product of the previous terms, plus one. Its first few terms are
Sylvester's_sequence
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000326 (Pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS
500_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A002182 (numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
1,000,000
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A062786 (Centered 10-gonal numbers)". The On-Line Encyclopedia of Integer Sequences
900_(number)
Number without repeated prime factors
23, 26, 29, 30, 31, 33, 34, 35, 37, 38, 39, ... (sequence A005117 in the OEIS) Every positive integer n {\displaystyle n} can be factored in a unique way
Square-free_integer
Sequence of integers
the Golomb sequence, named after Solomon W. Golomb (but also called Silverman's sequence), is a monotonically increasing integer sequence where an is
Golomb_sequence
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences.
400_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A001550 (a(n) = 1^n + 2^n + 3^n)". The On-Line Encyclopedia of Integer Sequences
700_(number)
Integer sequence
look-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, 31131211131221, ... (sequence A005150
Look-and-say_sequence
Integers formed by rounding down the integer multiples of a positive irrational number
In mathematics, a Beatty sequence (or homogeneous Beatty sequence) is the sequence of integers found by taking the floor of the positive multiples of
Beatty_sequence
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences.
2000_(number)
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS
10,000
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A176942 (Champernowne primes)". The On-Line Encyclopedia of Integer Sequences.
10,000,000,000,000
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000700". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
299_(number)
Natural number
integers is the same as the largest consecutive pair of p − 1 {\displaystyle p-1} -smooth integers)". The On-Line Encyclopedia of Integer Sequences.
23_(number)
Greatest integer less than or equal to square root
number theory, the integer square root (isqrt) of a non-negative integer n is the non-negative integer m which is the greatest integer less than or equal
Integer_square_root
Count of crystal nodes by distance
crystallography and graph theory, the coordination sequence of a vertex v {\displaystyle v} is an integer sequence that counts how many vertices are at each possible
Coordination_sequence
Integer sequence in number theory
theory, a juggler sequence is an integer sequence that starts with a positive integer a0, with each subsequent term in the sequence defined by the recurrence
Juggler_sequence
Natural number between 89 and 91
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A02808 (The composite numbers.)". The On-Line Encyclopedia of Integer Sequences
90_(number)
Natural number
"Sequence A000043 (mersenne prime exponents)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A003273
5
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000108 (Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS
100,000,000
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A022264 (a(n) equal to n*(7*n - 1)/2.)". The On-Line Encyclopedia of Integer Sequences
888_(number)
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences.
3000_(number)
Prime number containing consecutive digits of pi
(ed.). "Sequence A005042 (Primes formed by the initial digits of the decimal expansion of Pi)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
Pi_prime
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS
100,000,000,000
Natural number
compound polyhedra. Sloane, N. J. A. (ed.). "Sequence A003052". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Weisstein, Eric W. "Self
75_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-09-18. Sloane, N. J. A. "3x+1 problem". The On-Line Encyclopedia of Integer Sequences. The OEIS
37_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients)". The On-Line Encyclopedia of Integer Sequences. OEIS
34_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-05-04. "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS
32_(number)
Natural number
). "Sequence A000079 (Powers of 2: a(n) = 2^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A024675
64_(number)
Natural number
of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. "Sloane's A001608 : Perrin sequence". The On-Line Encyclopedia of Integer Sequences. OEIS
29_(number)
Integer sequence
positive integer n {\displaystyle n} appears was found by Levi van de Pol, in terms of a constant ϵ 1 {\displaystyle \epsilon _{1}} and a sequence of constants
Gijswijt's_sequence
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A001748". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
21_(number)
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences.
10,000,000
Natural number
(ed.). "Sequence A001608 (Perrin sequence (or Ondrej Such sequence): a(n) = a(n-2) + a(n-3))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
68_(number)
Natural number, composite number
). "Sequence A002410 (Nearest integer to imaginary part of n-th zero of Riemann zeta function.)". The On-Line Encyclopedia of Integer Sequences. OEIS
14_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A123206". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
17_(number)
Number, sum of distinct powers of 4
In number theory, the Moser–de Bruijn sequence is an integer sequence named after Leo Moser and Nicolaas Govert de Bruijn, consisting of the sums of distinct
Moser–de_Bruijn_sequence
Natural number
Integer Sequences. OEIS Foundation. Retrieved 2016-05-29. "Sloane's A005898 : Centered cube numbers". The On-Line Encyclopedia of Integer Sequences.
91_(number)
Natural number
numbers in a sequence. 69 is a deficient number because the sum of its proper divisors (which excludes itself) is less than itself. As an integer for which
69_(number)
Infinite matrix of integers derived from the Fibonacci sequence
of positive integers derived from the Fibonacci sequence and named after Dutch mathematician Willem Abraham Wythoff. Every positive integer occurs exactly
Wythoff_array
Any of several recursively-defined integer sequences
Hofstadter sequence is a member of a family of related integer sequences defined by non-linear recurrence relations. The first Hofstadter sequences were described
Hofstadter_sequence
Natural number
octangula number (sequence A007588 in the OEIS). It forms one side in a primitive Pythagorean triangle (right triangles with integer sides). It is also
51_(number)
Natural number
Wenninger index 74. Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. "Sloane's A005277 : Nontotients"
74_(number)
Natural number
J. A. (ed.). "Sequence A138591 (Sums of two or more consecutive nonnegative integers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
777_(number)
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients)". The On-Line Encyclopedia of Integer Sequences. OEIS
100
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-06-15. "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences
36_(number)
Number used for counting
eliminate ambiguity, the sequences 1, 2, 3, ... and 0, 1, 2, ... are often called the positive integers and the non-negative integers, respectively. The phrase
Natural_number
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences.
81_(number)
Natural number
of Integer Sequences. OEIS Foundation (oeis.org). Sloane's A000110. Retrieved 30 May 2016. "Untouchable numbers". The On-Line Encyclopedia of Integer Sequences
52_(number)
Natural number
(ed.). "Sequence A050288 (Pandigital primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A006958
10,000,000,000
Natural number
J. A. (ed.). "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
72_(number)
Natural number
old. Sloane, N. J. A. (ed.). "Sequence A006512 (Greater of twin primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved August
19_(number)
Natural number
A. (ed.). "Sequence A056809 (Numbers k such that k, k+1 and k+2 are products of two primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
85_(number)
Natural number
6000 Sloane, N. J. A. (ed.). "Sequence A069099 (Centered heptagonal numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. "Continued
6000_(number)
Natural number
number. an Erdős–Woods number, since it is possible to find sequences of 88 consecutive integers such that each inner member shares a factor with either the
88_(number)
Natural number
14. an Erdős–Woods number, since it is possible to find sequences of 78 consecutive integers such that each inner member shares a factor with either the
78_(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
Mathematical sequence involving arithmetic progressions
In mathematics, a Stanley sequence is an integer sequence generated by a greedy algorithm that chooses the sequence members to avoid arithmetic progressions
Stanley_sequence
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A050217 (Super-Poulet numbers)". The On-Line Encyclopedia of Integer Sequences.
4000_(number)
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000110 (Bell or exponential numbers)". The On-Line Encyclopedia of Integer Sequences
15_(number)
Natural number
N. J. A. (ed.). "Sequence A001358 (Semiprimes (or biprimes): products of two primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
303_(number)
Integer sequence
Gould's sequence is an integer sequence named after Henry W. Gould that counts how many odd numbers are in each row of Pascal's triangle. It consists
Gould's_sequence
Infinite sequence in mathematics
(Kolakoski sequence: a(n) is length of n-th run; a(1) = 1; sequence consists just of 1's and 2's)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
Kolakoski_sequence
Natural number
2016-05-30. Sloane, N. J. A. (ed.). "Sequence A000058 (Sylvester's sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30
43_(number)
Natural number
of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13. "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS
5000_(number)
Natural number
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences.
56_(number)
Natural number
of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16. "Sloane's A195163 : 1000-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS
50,000
Natural number
N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A006753 (Smith numbers)"
22_(number)
Negative integer two units from the origin in mathematics
beyond negative one. For example, in the On-Line Encyclopedia of Integer Sequences, negative one denotes non-existence, while negative two indicates
−2
Natural number
(number). Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Wells, D. The Penguin
118_(number)
Natural number
The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000957 (Fine's sequence (or Fine numbers): number of
7000_(number)
Natural number
92 is an Erdős–Woods number, since it is possible to find sequences of 92 consecutive integers such that each inner member shares a factor with either the
92_(number)
Natural number
of Integer Sequences. OEIS Foundation. Retrieved 2021-01-08. "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS
67_(number)
Natural number
N. J. A. (ed.). "Sequence A001358 (Semiprimes (or biprimes): products of two primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
57_(number)
Natural number
Integer Sequences. OEIS Foundation. Retrieved 2016-05-30. Sloane, N. J. A. (ed.). "Sequence A006003". The On-Line Encyclopedia of Integer Sequences.
65_(number)
Natural number
N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A001748". The On-Line
35_(number)
Natural number
of Integer Sequences. OEIS Foundation. Retrieved May 31, 2016. "Sloane's A001599 : Harmonic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS
28_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29. "Sloane's A007703 : Regular primes". The On-Line Encyclopedia of Integer Sequences. OEIS
79_(number)
Natural number
semiprime, within an aliquot sequence (93,35,13,1,0) of three numbers to the Prime 13 in the 13-Aliquot tree. a Blum integer, since its two prime factors
93_(number)
Natural number
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A028499 (6-hyperperfect numbers)". The On-Line Encyclopedia of Integer Sequences
301_(number)
Type of integer sequence
mathematics, a divisibility sequence is an integer sequence ( a n ) {\displaystyle (a_{n})} indexed by positive integers n such that if m ∣ n then
Divisibility_sequence
travel, tourism, insurance
INTEGER SEQUENCE
INTEGER SEQUENCE
INTEGER SEQUENCE
INTEGER SEQUENCE
INTEGER SEQUENCE
INTEGER SEQUENCE
INTEGER SEQUENCE
INTEGER SEQUENCE
INTEGER SEQUENCE
travel, tourism, insurance