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 |
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 |