A132645 Fermat number F(n) raised to power F(n).

27, 3125, 827240261886336764177

Offset

0,1

Links

Amiram Eldar, Table of n, a(n) for n = 0..3

Formula

a(n) = F(n)^F(n).

a(n) = A000312(A000215(n)). - Amiram Eldar, Jul 09 2025

Example

a(0) = 27 because F(0) = 3 and we can write 27 = 3^3 or 27 = 3*3*3.

Maple

a:= n-> (F-> F^F)(2^(2^n)+1):
seq(a(n), n=0..3);  # Alois P. Heinz, Jul 09 2025

Mathematica

a[n_] := Function[x, x^x][2^(2^n) + 1]; Array[a, 3, 0] (* Amiram Eldar, Jul 09 2025 *)

Crossrefs

Cf. A000215 (Fermat numbers), A000312, A019434 (Fermat primes), A051674.

Sequence in context: A085529 A132659 A104131 * A223551 A178631 A226531

Adjacent sequences: A132642 A132643 A132644 * A132646 A132647 A132648

Keyword

nonn

Author

Omar E. Pol, Aug 25 2007

Extensions

Offset corrected by Amiram Eldar, Jul 09 2025

Status

approved