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Mathematical concept
A sequence number is a consecutive number in a sequence of numbers, usually of real integers (natural numbers). Sequence numbers have many practical applications
Sequence_number
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
Algorithm that generates an approximation of a random number sequence
pseudorandom number generator (PRNG), also known as a deterministic random bit generator (DRBG), is an algorithm for generating a sequence of numbers whose
Pseudorandom_number_generator
Finite or infinite ordered list of elements
The length of a finite sequence is defined as the number of elements in the sequence. The position of an element in a sequence is its rank or index; it
Sequence
Lollipop sequence numbering is a numbering scheme used in routing protocols. In this numbering scheme, sequence numbers start at a negative value, increase
Lollipop_sequence_numbering
Principal protocol used to stream data across an IP network
receiving port. Sequence Number: 32 bits Has a dual role: If the SYN flag is set (1), then this is the initial sequence number. The sequence number of the actual
Transmission_Control_Protocol
"serial number arithmetic" for the purposes of manipulating and comparing these sequence numbers. In short, when the absolute serial number value decreases
Serial_number_arithmetic
Mathematical sequences
That is, after two starting values, each number is the sum of the two preceding numbers. The Fibonacci sequence has been studied extensively and generalized
Generalizations of Fibonacci numbers
Generalizations_of_Fibonacci_numbers
Simple routing algorithm sending incoming packets to all other links than the sender
SNCF (Sequence Number Controlled Flooding) and RPF (reverse-path forwarding). In SNCF, the node attaches its own address and sequence number to the packet
Flooding (computer networking)
Flooding_(computer_networking)
Cisco tunneling protocol
bit) Sequence number bit. Set to 1 if a sequence number is present. Reserved 0 (9 bits) Reserved bits; set to 0. Version (3 bits) GRE Version number; set
Generic_routing_encapsulation
Endless sequence of integers
In mathematics and computer science, Recamán's sequence is a sequence defined by a recurrence relation. Because its elements are related to the previous
Recamán's_sequence
Communications protocol
one sequence number space. This is incremented for successive I-frames, modulo 8 or modulo 128. Depending on the number of bits in the sequence number, up
High-Level_Data_Link_Control
Unique code assigned for identification of a single unit
serial number Elz, R., and R. Bush, RFC 1982 "Serial Number Arithmetic", Network Working Group, August 1996. Plummer, William W. "Sequence Number Arithmetic"
Serial_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
Unique identifiers used by X (formerly Twitter)
per-machine sequence number, to allow creation of multiple snowflakes in the same millisecond. Only 63 bits are variable, so that a non-negative number can be
Snowflake_ID
Network utility used to test the reachability of a host
Sequence number is an increasing number within that process. Windows uses a fixed Identifier, which varies between Windows versions, and a Sequence number
Ping_(networking_utility)
Online database of integer sequences
runs a large number of different algorithms to identify sequences related to the input. Neil Sloane started collecting integer sequences as a graduate
On-Line Encyclopedia of Integer Sequences
On-Line_Encyclopedia_of_Integer_Sequences
Mathematical sequence
the Prüfer sequence (also Prüfer code or Prüfer numbers) of a labeled tree is a unique sequence associated with the tree. The sequence for a tree on
Prüfer_sequence
Integer sequence
generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups of the
Look-and-say_sequence
Type of mathematical sequence
In mathematics, a low-discrepancy sequence is a sequence with the property that for all values of N {\displaystyle N} , its subsequence x 1 , … , x N {\displaystyle
Low-discrepancy_sequence
number, a Sophie Germain prime, and a centered square number, 1016 = 23 × 127. It is stella octangula number and a member of the Mian–Chowla sequence
1000_(number)
Structure of Stream Control Transmission Protocol packets
Re-configuration request sequence number Sequence number of this re-configuration request. Re-configuration response sequence number Sequence number of the last re-configuration
SCTP_packet_structure
Natural number
number smallest four digit eban number the sum of all the nban numbers (sequence A008537 in the OEIS) 2001 – sphenic number 2002 = Palindromic number
2000_(number)
FBI ten most wanted list
by the sequence number in which each individual has appeared on the list. Some individuals have even appeared twice, and often a sequence number was permanently
FBI Ten Most Wanted Fugitives, 2010s
FBI_Ten_Most_Wanted_Fugitives,_2010s
Internet protocol used for error messages in network operations
Identifier and Sequence Number can be used by the client to match the timestamp reply with the timestamp request. Originate timestamp is the number of milliseconds
Internet Control Message Protocol
Internet_Control_Message_Protocol
Special locking mechanism used in Linux
writer increments the sequence number, both after acquiring the lock and before releasing the lock. Readers read the sequence number before and after reading
Seqlock
Barcode for use on U.S. mail
The sequence number is either 6 or 9 digits, based on the length of the mailer ID. If the mailer ID is 6 digits long, then the sequence number is 9 digits
Intelligent_Mail_barcode
Technique used to resist SYN flood attacks
which includes a sequence number used by TCP to reassemble the data stream. According to the TCP specification, the initial sequence number sent by an endpoint
SYN_cookies
by the sequence number in which each individual has appeared on the list. Some individuals have even appeared twice, and often a sequence number was permanently
FBI Ten Most Wanted Fugitives, 2000s
FBI_Ten_Most_Wanted_Fugitives,_2000s
Motorized device that opens and closes garage doors
advance the sequence number, the receiver does not insist the sequence number increase by exactly one; it will accept a sequence number that falls within
Garage_door_opener
Sequence of points that get progressively closer to each other
all excluding a finite number of elements of the sequence are less than that given distance from each other. Cauchy sequences are named after Augustin-Louis
Cauchy_sequence
Class of sequences of natural numbers
In number theory, a Sidon sequence is a sequence A = { a 0 , a 1 , a 2 , … } {\displaystyle A=\{a_{0},a_{1},a_{2},\dots \}} of natural numbers in which
Sidon_sequence
Routing scheme for ad hoc mobile networks
hop, number of hops and sequence number. If a router receives new information, then it uses the latest sequence number. If the sequence number is the
Destination-Sequenced Distance Vector routing
Destination-Sequenced_Distance_Vector_routing
local authority: Sligo County Council) SSSSSS – a one- to six-digit sequence number, starting with the first vehicle registered in the licensing authority
Vehicle registration plates of the Republic of Ireland
Vehicle_registration_plates_of_the_Republic_of_Ireland
American hip hop group
The Sequence was an American hip hop group formed in Columbia, South Carolina in 1979, that comprised Angie B., Blondy, and Cheryl the Pearl. The group
The_Sequence
Ordered list of whole numbers
is a perfect number, (sequence A000396 in the OEIS), even though we do not have a formula for the nth perfect number. An integer sequence is computable
Integer_sequence
FBI Ten Most Wanted List
by the sequence number in which each individual has appeared on the list. Some individuals have even appeared twice, and often a sequence number was permanently
FBI Ten Most Wanted Fugitives, 2020s
FBI_Ten_Most_Wanted_Fugitives,_2020s
Number used to approximate the square root of 2
the sequence of Pell numbers starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number, plus the Pell number before
Pell_number
Danish national identification number
ten-digit number with the format DDMMYY-SSSS, where DDMMYY is the date of birth and SSSS is a sequence number. The first digit of the sequence number encodes
Personal identification number (Denmark)
Personal_identification_number_(Denmark)
Number to represent one's identity as a numerical code
daily sequence number, where female newborns are assigned numbers starting with 0000 to 4999, male newborns from 5000 to 9999, and the sequence is reset
National identification number
National_identification_number
Protocol for delivering audio and video over IP networks
are profile specific and may be dynamically assigned. Sequence Number: 16 bits The sequence number is incremented for each RTP data packet sent and is to
Real-time_Transport_Protocol
History of actions executed by a database management system
altered by a given process. A database log record is made up of: Log Sequence Number (LSN): A unique ID for a log record. With LSNs, logs can be recovered
Transaction_log
Type of error-detection protocol at the data link layer, and transport layer for TCP
allow a selected number of packets, the window, to be sent without having to wait for an ACK. Each packet receives a sequence number, and the ACKs send
Sliding_window_protocol
Cyberattack involving counterfeit packets
A TCP sequence prediction attack is an attempt to predict the sequence number used to identify the packets in a TCP connection, which can be used to counterfeit
TCP sequence prediction attack
TCP_sequence_prediction_attack
Type of numeric sequence used in statistics
example of a quasi-random number sequence. They generalize the one-dimensional van der Corput sequences. The Halton sequence is constructed according to
Halton_sequence
by the sequence number in which each individual has appeared on the list. Some individuals have even appeared twice, and often a sequence number was permanently
FBI Ten Most Wanted Fugitives, 1990s
FBI_Ten_Most_Wanted_Fugitives,_1990s
Computer expansion bus standard
LCRC and sequence number are both validated in the link layer. If either the LCRC check fails (indicating a data error), or the sequence-number is out of
PCI_Express
Integer sequence in number theory
In number theory, a juggler sequence is an integer sequence that starts with a positive integer a0, with each subsequent term in the sequence defined by
Juggler_sequence
Sequence of natural numbers
example, the sequence of powers of two (1, 2, 4, 8, ...), the basis of the binary numeral system, is a complete sequence; given any natural number, we can
Complete_sequence
Typical jersey number and their field position correlation in association football
given out-of-sequence number 10 in both 1982 and 1986, while Mario Kempes in 1982 and Jorge Valdano in 1986 were allowed to use number 11). In 1974 Argentina
Squad number (association football)
Squad_number_(association_football)
by the sequence number in which each individual has appeared on the list. Some individuals have even appeared twice, and often a sequence number was permanently
FBI Ten Most Wanted Fugitives, 1980s
FBI_Ten_Most_Wanted_Fugitives,_1980s
Integer sequence
2, 4, 4, 8, 4, 8, 8, 16, 2, 4, ... (sequence A001316 in the OEIS) For instance, the sixth number in the sequence is 4, because there are four odd numbers
Gould's_sequence
Number, approximately 1.3247
expansion begins with 1.324717957244746... (sequence A060006 in the OEIS). It is the smallest Pisot number. The adjective plastic does not refer to the
Plastic_ratio
Type of sequence in numerical analysis
Sobol' sequences (also called LPτ sequences or (t, s) sequences in base 2) are a type of quasi-random low-discrepancy sequence. They were first introduced
Sobol_sequence
Basic automatic repeat-request (ARQ) data transmission and error detection protocol
the sequence. To avoid these problems, the most common solution is to define a 1 bit sequence number in the header of the frame. This sequence number alternates
Stop-and-wait_ARQ
Integers formed by rounding down the integer multiples of a positive irrational number
Beatty sequence (or homogeneous Beatty sequence) is the sequence of integers found by taking the floor of the positive multiples of an irrational number that
Beatty_sequence
Transcendental number(s) with all positive integers in order
The number is defined by concatenating the base-10 representations of the positive integers: C10 = 0.1234567891011121314151617181920... (sequence A033307
Champernowne_constant
Counts pieces of a disk cut by lines
The lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza
Lazy_caterer's_sequence
Infinite sequence in mathematics
Kolakoski sequence, sometimes also known as the Oldenburger–Kolakoski sequence, is an infinite sequence of symbols {1,2} that is the sequence of run lengths
Kolakoski_sequence
Number with all digits equally frequent
In mathematics, a real number is said to be simply normal in an integer base b if its infinite sequence of digits is distributed uniformly in the sense
Normal_number
Concurrency control method
OCC. Each version of a document is assigned a sequence number, and newer versions receive higher sequence numbers. As changes to a document arrive asynchronously
Optimistic concurrency control
Optimistic_concurrency_control
sequence numbers to defeat replay attacks as follows: When the source sends a message, it adds a sequence number to its packet; the sequence number starts
Anti-replay
Mathematical recursive sequence
aliquot sequences eventually end with a prime number, a perfect number, or a set of amicable or sociable numbers? (Catalan's aliquot sequence conjecture)
Aliquot_sequence
Mathematical sequence
In mathematics, a Weyl sequence is a sequence from the equidistribution theorem proven by Hermann Weyl: The sequence of all multiples of an irrational
Weyl_sequence
Infinite sequence of terms characterized by a finite automaton
theoretical computer science, an automatic sequence (also called a k-automatic sequence or a k-recognizable sequence when one wants to indicate that the base
Automatic_sequence
Signal between two devices or programs
own sequence number x {\displaystyle x} , which Bob receives. Bob replies with a synchronize-acknowledgment (SYN-ACK) message with its own sequence number
Handshake_(computing)
Information identifying when an event occurred
or backwards Bates numbering Decentralized trusted timestamping on the blockchain Sequence number, consecutive number in a sequence of numbers, for example
Timestamp
Message-oriented transport layer protocol
forms depending on the value of X, the Extended Sequence Numbers bit. If X is one, the Sequence Number field is 48 bits long, and the generic header takes
Datagram Congestion Control Protocol
Datagram_Congestion_Control_Protocol
Infinite binary sequence generated by repeated complementation and concatenation
ways of defining the Thue–Morse sequence. To compute the nth element tn, write the number n in binary. If the number of ones in this binary expansion
Thue–Morse_sequence
Number that remains the same when its digits are reversed
have: 1999, 10999, 19999, 109999, 199999, 1099999, ... (sequence A070199 in the OEIS). The number of palindromic numbers which have some other property
Palindromic_number
Sequence of numbers
1 by a sequence of the two operations n ↦ 2n + 2 and 7n + 7 (in any order). For instance, applying the first operation to 1 produces the number 4, and
Katydid_sequence
Type of Gödel numbering in mathematics
a Gödel numbering for sequences provides an effective way to represent each finite sequence of natural numbers as a single natural number. While a set
Gödel_numbering_for_sequences
Value to which an infinite sequence tends
In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the lim {\displaystyle \lim } symbol
Limit_of_a_sequence
File format for DNA or protein sequences
fastaVN.doc, or fastaVN.me—where VN is the Version Number). In the original format, a sequence was represented as a series of lines, each of which was
FASTA_format
where: nnnn is a sequence number from 0000 to 9999, LLL is a "counter" comprising three letters, which increments after the sequence number reaches 9999.
Vehicle registration plates of Spain
Vehicle_registration_plates_of_Spain
Group of communications protocols
header optional field. Sequence number flag (S) a 1-bit value that states whether there is a Sequence Number optional field. N-PDU number flag (PN) a 1-bit
GPRS_Tunnelling_Protocol
first three-digit number identifies the country or international organisation. The second three-digit number is a serial number sequence starting at 101
Vehicle registration plates of the United Kingdom
Vehicle_registration_plates_of_the_United_Kingdom
Abstract strategy board and card game
Sequence is an abstract strategy tabletop party game. Sequence was invented by Douglas Reuter. He originally called the game Sequence Five. In 2017, Goliath
Sequence_(game)
Recovery algorithm
undone. CLRs are of the form (Sequence Number, Transaction ID, Page ID, Redo, Previous Sequence Number, Next Undo Sequence Number). The Redo field contains
Algorithms for Recovery and Isolation Exploiting Semantics
Algorithms_for_Recovery_and_Isolation_Exploiting_Semantics
Integer sequence
Gijswijt's sequence (named after Dion Gijswijt by Neil Sloane) is a self-describing sequence where each term counts the maximum number of repeated blocks
Gijswijt's_sequence
Sequence of n-tuples of integers
such sequence eventually becomes periodic. Ducci sequences are also known as the Ducci map or the n-number game. Open problems in the study of these maps
Ducci_sequence
Natural number
S2CID 125356690. Sloane, N. J. A. (ed.). "Sequence A307681 (Difference between the number of sides and the number of diagonals of a convex n-gon.)". The
5
In mathematics, Alcuin's sequence, named after Alcuin of York, is the sequence of coefficients of the power-series expansion of: x 3 ( 1 − x 2 ) ( 1 −
Alcuin's_sequence
American comedy-drama television series (1988–1993)
Wonder Years number 63 on its list of 100 Greatest TV Shows of All Time. In 2017, James Charisma of Paste ranked the show's opening sequence number 14 on a
The_Wonder_Years
Quickly-growing integer sequence
In mathematics, a sequence of positive integers an is called an irrationality sequence if it has the property that for every sequence xn of positive integers
Irrationality_sequence
Sequence for which the same terms are repeated over and over
The number p of repeated terms is called the period (period). A (purely) periodic sequence (with period p), or a p-periodic sequence, is a sequence a1
Periodic_sequence
Increasing sequence of reduced fractions
In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, which
Farey_sequence
by the sequence number in which each individual has appeared on the list. Some individuals have even appeared twice, and often a sequence number was permanently
FBI Ten Most Wanted Fugitives, 1970s
FBI_Ten_Most_Wanted_Fugitives,_1970s
Sequence of rational numbers
Specker sequence is a computable, monotonically increasing, bounded sequence of rational numbers whose supremum is not a computable real number. The first
Specker_sequence
Sequence of integers
sequence, named after Solomon W. Golomb (but also called Silverman's sequence), is a monotonically increasing integer sequence where an is the number
Golomb_sequence
Type of natural number
values of k, together with the sequence number in the On-Line Encyclopedia of Integer Sequences (OEIS) of the sequence of k-hyperperfect numbers: It can
Hyperperfect_number
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
Natural number
Sloane, N. J. A. (ed.). "Sequence A077800 (List of twin primes {p, p+2}.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved
31_(number)
Natural number
Integer Sequences. OEIS Foundation. Retrieved 2022-12-08. Sloane, N. J. A. (ed.). "Sequence A000537 (Sum of first n cubes; or n-th triangular number squared)"
100
Security profile for Real-time Transport Protocol
packet header, including the packet sequence number. To protect against replay attacks, the receiver maintains the sequence numbers of previously received
Secure Real-time Transport Protocol
Secure_Real-time_Transport_Protocol
Automatic repeat-request (ARQ) protocol in data transmission and error detection
track of the sequence number of the next frame it expects to receive. It will discard any frame that does not have the exact sequence number it expects
Go-Back-N_ARQ
Large number coined by Ronald Graham
faster than any computable sequence. Though too large to ever be computed in full, the sequence of digits of Graham's number can be computed explicitly
Graham's_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
An issue number to the account number (also known as PAN Sequence Number) is featured on certain debit cards, primarily United Kingdom ones such as Switch
Issue_number
Sequence with limited alternation of symbols
In combinatorics, a Davenport–Schinzel sequence is a sequence of symbols in which the number of times any two symbols may appear in alternation is limited
Davenport–Schinzel_sequence
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SEQUENCE NUMBER
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