A203228 (n-1)-st elementary symmetric function of (1!,...,(n-1)!).

1, 3, 20, 492, 59328, 42750720, 215488512000, 8688622215168000, 3152932286024908800000, 11441362514460661304524800000, 456702585875829909265192058880000000, 218761269624450195162273767321763840000000000

Offset: 1

Author

Clark Kimberling, Dec 30 2011

Keywords

• nonn

Crossrefs

Cf. A000142, A203222.

Programs

Mathematica

f[k_] := k!; t[n_] := Table[f[k], {k, n}]
a[n_] := SymmetricPolynomial[n - 1, t[n]]
Table[a[n], {n, 14}] (* A203228 *)

Formula

From Daniel Suteu, Dec 04 2016: (Start)

a(n) ~ (e-1) * A000178(n).

a(1) = 1, a(n) = n! * a(n-1) + A000178(n-1). (End)