A036739 a(n) = (n!)^n+1.

2, 2, 5, 217, 331777, 24883200001, 139314069504000001, 82606411253903523840000001, 6984964247141514123629140377600000001, 109110688415571316480344899355894085582848000000001, 395940866122425193243875570782668457763038822400000000000000000001

Offset

0,1

Links

Seiichi Manyama, Table of n, a(n) for n = 0..30

Formula

a(n) ~ (2*Pi)^(n/2) * n^(n^2 + n/2) / exp(n^2 - 1/12). - Vaclav Kotesovec, Mar 19 2018

Maple

seq(factorial(n)^n+1, n=0..11); # Muniru A Asiru, Mar 19 2018

Mathematica

Table[(n!)^n+1, {n, 0, 10}] (* Harvey P. Dale, Apr 10 2012 *)

Prog

(PARI) a(n) = (n!)^n + 1; \\ Altug Alkan, Mar 19 2018
(GAP) List([0..11], n->Factorial(n)^n+1); # Muniru A Asiru, Mar 19 2018

Crossrefs

Cf. A019514, A020549, A036740, A038507.

Sequence in context: A345740 A230607 A353534 * A158311 A158061 A270546

Adjacent sequences: A036736 A036737 A036738 * A036740 A036741 A036742

Keyword

nonn

Author

G. L. Honaker, Jr.

Extensions

One more term from Harvey P. Dale, Apr 10 2012

Status

approved