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%I #17 Oct 27 2024 03:12:54
%S 2,5,8,13,19,25,32,41,50,60,72,84,97,111,126,142,159,177,196,216,237,
%T 259,282,306,330,356,383,410,439,469,499,531,563,597,631,667,703,740,
%U 779,818,858,899,942,985,1029,1074,1120,1167,1215,1264,1314,1365,1417
%N Largest number k such that k! < (n!)^n.
%H Chai Wah Wu, <a href="/A122221/b122221.txt">Table of n, a(n) for n = 2..10000</a>
%e a(3)=5 because 5! = 120 is less than (3!)^3 = 216 whereas 6! = 720 > 216.
%p a:=proc(n) local b: b:=proc(k) if k!<(n!)^n then k else fi end: max(seq(b(k),k=1..2200)) end: seq(a(n),n=2..67); # _Emeric Deutsch_, Oct 07 2006
%t s={};Do[k=1;Until[k!>=(n!)^n,k++]; AppendTo[s,k-1],{n,2,54}];s (* _James C. McMahon_, Oct 26 2024 *)
%Y Cf. A036740, A121347, A122222.
%K nonn
%O 2,1
%A _Hugo Pfoertner_, Sep 25 2006
%E More terms from _Emeric Deutsch_, Oct 07 2006