login
A203228
(n-1)-st elementary symmetric function of (1!,...,(n-1)!).
4
1, 3, 20, 492, 59328, 42750720, 215488512000, 8688622215168000, 3152932286024908800000, 11441362514460661304524800000, 456702585875829909265192058880000000, 218761269624450195162273767321763840000000000
OFFSET
1,2
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)
MATHEMATICA
f[k_] := k!; t[n_] := Table[f[k], {k, n}]
a[n_] := SymmetricPolynomial[n - 1, t[n]]
Table[a[n], {n, 14}] (* A203228 *)
CROSSREFS
Sequence in context: A138897 A365365 A189603 * A174972 A300917 A089943
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 30 2011
STATUS
approved