A117736 factorial(n) - A049614(n).

0, 0, 1, 5, 20, 116, 696, 5016, 40128, 361152, 3611520, 39899520, 478794240, 6226813440, 87175388160, 1307630822400, 20922093158400, 355686731366400, 6402361164595200, 121645087867699200, 2432901757353984000

Offset: 0

Author

Roger L. Bagula, Apr 14 2006

Keywords

• nonn

Crossrefs

Cf. A034386, A117683.

Programs

Mathematica

f[n_] := If[PrimeQ[n] == True, 1, n] cf[0] = 1; cf[n_Integer?Positive] := cf[n] = f[n]*cf[n - 1] g[n_] := If[PrimeQ[n] == True, n, 1] p[0] = 1; p[n_Integer?Positive] := p[n] = g[n]*p[n - 1] Table[n! - cf[n], {n, 0, 20}]

Formula

a(n) =n!- A049614(n) = A000142(n)-A049614(n).

Extensions

Edited by the Assoc. Eds. of the OEIS, Jun 27 2010