A293140 E.g.f.: Product_{m>0} (1-x^m).

1, -1, -2, 0, 0, 120, 0, 5040, 0, 0, 0, 0, -479001600, 0, 0, -1307674368000, 0, 0, 0, 0, 0, 0, 1124000727777607680000, 0, 0, 0, 403291461126605635584000000, 0, 0, 0, 0, 0, 0, 0, 0, -10333147966386144929666651337523200000000, 0, 0, 0, 0

Offset: 0

Author

Seiichi Manyama, Oct 01 2017

Keywords

• sign

Crossrefs

Column k=1 of A293139.

Cf. A003056, A010815, A088311, A351884.

Formula

a(n) = n! * A010815(n).

a(n) = Sum_{k=0..A003056(n)} (-1)^k * A351884(n,k). - Alois P. Heinz, Feb 23 2022