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%I #26 Sep 08 2022 08:44:56
%S 0,7,215,13823,1727999,373247999,128024063999,65548320767999,
%T 47784725839871999,47784725839871999999,63601470092869631999999,
%U 109903340320478724095999999,241457638684091756838911999999
%N a(n) = (n!)^3 - 1.
%H Vincenzo Librandi, <a href="/A046033/b046033.txt">Table of n, a(n) for n = 1..100</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Factorial.html">Factorial</a>
%F From _Robert Israel_, Feb 05 2018: (Start)
%F a(n+1)+1 = (a(n)+1)*(n+1)^3.
%F -(n^2+5*n+7)*(n+1)^4*a(n)+(n^2+3*n+1)*(n^4+6*n^3+14*n^2+15*n+7)*a(n+1)-n*(n^2+3*n+3)*a(n+2) = 0. (End)
%p seq((n!)^3-1, n=1..20); # _Robert Israel_, Feb 05 2018
%t (Range[20]!)^3-1 (* _Harvey P. Dale_, Mar 24 2014 *)
%o (Magma) [Factorial(n)^3-1: n in [1..15]]; // _Vincenzo Librandi_, Mar 25 2014
%Y Cf. A019514.
%K nonn,easy
%O 1,2
%A _Eric W. Weisstein_
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