A250495 The n^n-th Fibonacci number.

1, 1, 3, 196418, 141693817714056513234709965875411919657707794958199867

Offset: 0

Author

Alois P. Heinz, Nov 24 2014

Keywords

• nonn

Comments

The next term (a(5)) has 653 digits. - Harvey P. Dale, Nov 29 2017

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..5

Crossrefs

Cf. A000045, A000312, A008973, A250486.

Programs

Maple

a:= n-> (<<0|1>, <1|1>>^(n^n))[1, 2]:
seq(a(n), n=0..5);

Mathematica

Table[Fibonacci[n^n],{n,0, 5}] (* Harvey P. Dale, Nov 29 2017 *)

Formula

a(n) = [0, 1; 1, 1]^(n^n)[1,2].

a(n) = A000045(n^n) = A250486(n,n).

a(n) = A000045(A000312(n)).