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

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

Offset: 0

Author

G. L. Honaker, Jr.

Keywords

• nonn

Links

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

Crossrefs

Cf. A019514, A020549, A036740, A038507.

Programs

GAP

List([0..11],n->Factorial(n)^n+1); # Muniru A Asiru, 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 *)

PARI

a(n) = (n!)^n + 1; \\ Altug Alkan, Mar 19 2018

Formula

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

Extensions

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