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%I #3 Mar 30 2012 16:50:40
%S 0,0,29,12528,14927013,44632974375,289553896419667,
%T 3621335176611561472,79763800168579144103361,
%U 2886490238072828615188093125,162510049064391484117789761805165,13624190843866457706897020192739557376,1640800492737366435568874082163705520197134
%N Floor((n*(n+1)^3/8)^n)-(n!)^4.
%C Theorem: (n*(n+1)^3/8)^n > (n!)^4 for n > 1.
%D D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.17.
%e (n*(n+1)^3/8)^n - (n!)^4 gives 0, 0, 473/16, 12528, 238832209/16, 44632974375, 1186012759734957321/4096, ...
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Apr 02 2007