# Integer sequence

In mathematics, an**integer sequence**is a sequence (i.e., an ordered list of terms) 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.

Integer sequences which have received their own name include:

- Catalan numbers
- Euler numbers
- Fibonacci numbers
- Figurate numbers
- Lucas numbers

## See also

## External links

- Journal of Integer Sequences. Articles are freely available online.

Topics in mathematics related to quantity
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Numbers | Natural numbers | Integers | Rational numbers | Real numbers | Complex numbers | Hypercomplex numbers | Quaternions | Octonions | Sedenions | Hyperreal numbers |
Surreal numbers | Ordinal numbers | Cardinal numbers | p-adic numberss | Integer sequences | Mathematical constants | Infinity
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