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・ Integer broom topology
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・ Integer Matrix Library
・ INTEGER Millennium House
・ Integer overflow
・ Integer points in convex polyhedra
・ Integer programming
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Integer sequence
・ Integer sequence prime
・ Integer set library
・ Integer sorting
・ Integer square root
・ Integer triangle
・ Integer-valued function
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Integer sequence : ウィキペディア英語版
Integer sequence
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 for its ''n''th term, or ''implicitly'' by giving a relationship between its terms. For example, the sequence 0, 1, 1, 2, 3, 5, 8, 13, … (the Fibonacci sequence) is formed by starting with 0 and 1 and then adding any two consecutive terms to obtain the next one: an implicit description. The sequence 0, 3, 8, 15, … is formed according to the formula ''n''2 − 1 for the ''n''th term: an explicit definition.
Alternatively, an integer sequence may be defined by a property which members of the sequence possess and other integers do not possess. For example, we can determine whether a given integer is a perfect number, even though we do not have a formula for the ''n''th perfect number.
== Examples ==
Integer sequences which have received their own name include:
*Abundant numbers
*Baum–Sweet sequence
*Bell numbers
*Binomial coefficients
*Carmichael numbers
*Catalan numbers
*Composite numbers
*Deficient numbers
*Euler numbers
*Even and odd numbers
*Factorial numbers
*Fibonacci numbers
*Fibonacci word
*Figurate numbers
*Golomb sequence
*Happy numbers
*Highly totient numbers
*Highly composite numbers
*Home primes
*Hyperperfect numbers
*Juggler sequence
*Kolakoski sequence
*Lucky numbers
*Lucas numbers
*Padovan numbers
*Partition numbers
*Perfect numbers
*Pseudoperfect numbers
*Prime numbers
*Pseudoprime numbers
*Regular paperfolding sequence
*Rudin–Shapiro sequence
*Semiperfect numbers
*Semiprime numbers
*Superperfect numbers
*Thue-Morse sequence
*Ulam numbers
*Weird numbers

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Integer sequence」の詳細全文を読む



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