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n^(n^n) - (n!)!.
0

%I #5 Mar 01 2024 17:48:50

%S 0,14,7625597484267,

%T 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811326121544700409566724096

%N n^(n^n) - (n!)!.

%C Theorem: n^(n^n) > (n!)! for n>1.

%D D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.22.

%t Table[n^(n^n)-(n!)!,{n,4}] (* _Harvey P. Dale_, Mar 01 2024 *)

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Apr 03 2007