A136432 - OEIS

%I #12 Apr 06 2022 06:07:50

%S 2,2,3,5,6,7,9,10,11,12,14,15,16,17,19,20,21,22,24,25,26,27,29,30,31,

%T 32,33,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,59,

%U 60,61,62,63,65,66,67,68,69,71,72,73,74,75,76,78,79,80,81,82,84,85,86,87

%N a(n)! is the smallest factorial bigger than n^n.

%H Alois P. Heinz, <a href="/A136432/b136432.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = A090529(n^n+1). - _R. J. Mathar_, Apr 06 2022

%e a(13) = 17 because 17! is the smallest factorial bigger than 13^13.

%t From Alexis Olson (AlexisOlson(AT)gmail.com), Nov 14 2008: (Start)

%t For[n = 1; s = {2}, n <= 1000, n++,

%t ..For[k = Max[s], k <= 1200, k++,

%t ....If[k! > n^n, s = Union[s, {k}]; Break[]]]]; s (End)

%t With[{ff=Table[{n,n!},{n,100}]},Transpose[Flatten[Table[Select[ff,#[[2]]>k^k&, 1],{k,90}],1]][[1]]] (* _Harvey P. Dale_, Mar 16 2013 *)

%K easy,nonn

%O 0,1

%A _Ben Paul Thurston_, Apr 01 2008

%E More terms from Alexis Olson (AlexisOlson(AT)gmail.com), Nov 14 2008

%E a(0) prepended by _Alois P. Heinz_, Mar 30 2022