## recurrence relation

<*mathematics*> An equation that defines each element of a
sequence in terms of one or more earlier elements. E.g. The
Fibonacci sequence,

X[1] = 1 X[2] = 1 X[n] = X[n-1] + X[n-2]Some recurrence relations can be converted to "closed form" where X[n] is defined purely in terms of n, without reference to earlier elements.

Last updated: 2008-01-14

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**Nearby terms:**

**recurrence relation**» recurse » recursion » recursion theory

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