A007339 a(n) = n! - n^3.

1, 0, -6, -21, -40, -5, 504, 4697, 39808, 362151, 3627800, 39915469, 478999872, 6227018603, 87178288456, 1307674364625, 20922789883904, 355687428091087, 6402373705722168, 121645100408825141, 2432902008176632000

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..400
• R. K. Hoeflin, Titan Test
• Index entries for sequences related to factorial numbers

Crossrefs

Cf. A000142, A000578.

Programs

Magma

[Factorial(n)-n^3: n in [0..20]]; // Vincenzo Librandi, Oct 06 2011

Mathematica

Table[n!-n^3,{n,0,20}] (* Harvey P. Dale, Jul 02 2012 *)

Formula

E.g.f.: 1/(1 - x) - x*(1 + 3*x + x^2)*exp(x). - Ilya Gutkovskiy, Jan 27 2017