Integer sequence (nonfiction)

Fibonacci sequence on a building in Gothenburg.

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 nth 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 n2 − 1 for the nth 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 nth perfect number.

Fiction cross-reference

• Crimes against mathematical constants
• Gnomon algorithm
• Gnomon Chronicles
• Mathematician
• Mathematics

Nonfiction cross-reference

• Integer (nonfiction)
• Mathematician (nonfiction)
• Mathematics (nonfiction)
• Number (nonfiction)

External links:

• Integer sequence @ Wikipedia
• On-Line Encyclopedia of Integer Sequences - an online database of integer sequences, also cited as Sloane's after creator Neal Sloane.