A036739 a(n) = (n!)^n+1.
2, 2, 5, 217, 331777, 24883200001, 139314069504000001, 82606411253903523840000001, 6984964247141514123629140377600000001, 109110688415571316480344899355894085582848000000001, 395940866122425193243875570782668457763038822400000000000000000001
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..30
Programs
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GAP
List([0..11],n->Factorial(n)^n+1); # Muniru A Asiru, Mar 19 2018
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Maple
seq(factorial(n)^n+1,n=0..11); # Muniru A Asiru, Mar 19 2018
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Mathematica
Table[(n!)^n+1,{n,0,10}] (* Harvey P. Dale, Apr 10 2012 *)
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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