A308942 a(n) = Product_{k=1..n} Stirling2(n,k) * k!.

1, 1, 2, 36, 12096, 129600000, 67688524800000, 2447142088237056000000, 8252231792724705005273088000000, 3364251896526130462332506439942144000000000, 208568259979639958038116614964866564751360000000000000000, 2415411835199739880770061590576804904109473876860500705280000000000000000

Offset: 0

Author

Ilya Gutkovskiy, Jul 01 2019

Keywords

• nonn

Crossrefs

Cf. A000178, A000670, A019538, A058808, A308941.

Programs

Mathematica

Table[Product[StirlingS2[n, k] k!, {k, 1, n}], {n, 0, 11}]

PARI

a(n) = prod(k=1, n, stirling(n, k, 2)*k!); \\ Michel Marcus, Jul 02 2019