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%I M4140 #31 Sep 08 2022 08:44:35
%S 1,0,-6,-21,-40,-5,504,4697,39808,362151,3627800,39915469,478999872,
%T 6227018603,87178288456,1307674364625,20922789883904,355687428091087,
%U 6402373705722168,121645100408825141,2432902008176632000
%N a(n) = n! - n^3.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Vincenzo Librandi, <a href="/A007339/b007339.txt">Table of n, a(n) for n = 0..400</a>
%H R. K. Hoeflin, <a href="http://www.eskimo.com/~miyaguch/titan.html">Titan Test</a>
%H <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>
%F E.g.f.: 1/(1 - x) - x*(1 + 3*x + x^2)*exp(x). - _Ilya Gutkovskiy_, Jan 27 2017
%t Table[n!-n^3,{n,0,20}] (* _Harvey P. Dale_, Jul 02 2012 *)
%o (Magma) [Factorial(n)-n^3: n in [0..20]]; // _Vincenzo Librandi_, Oct 06 2011
%Y Cf. A000142, A000578.
%K sign
%O 0,3
%A _N. J. A. Sloane_
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