FindSequenceFunction

FindSequenceFunction[{a1, a2, a3, ...}] attempts to find a simple function that yields the sequence an when given successive integer arguments.

FindSequenceFunction[list, n] gives the function applied to n.

Examples

Find a sequence formula:

FindSequenceFunction[{1, 4, 9, 16, 25}]
(* #1^2 & *)

Apply to n:

FindSequenceFunction[{1, 1, 2, 3, 5, 8}, n]
(* Fibonacci[n] *)

Please visit the official Wolfram Language Reference for more details.