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%I #7 Jul 02 2019 09:09:41
%S 1,1,2,36,12096,129600000,67688524800000,2447142088237056000000,
%T 8252231792724705005273088000000,
%U 3364251896526130462332506439942144000000000,208568259979639958038116614964866564751360000000000000000,2415411835199739880770061590576804904109473876860500705280000000000000000
%N a(n) = Product_{k=1..n} Stirling2(n,k) * k!.
%t Table[Product[StirlingS2[n, k] k!, {k, 1, n}], {n, 0, 11}]
%o (PARI) a(n) = prod(k=1, n, stirling(n, k, 2)*k!); \\ _Michel Marcus_, Jul 02 2019
%Y Cf. A000178, A000670, A019538, A058808, A308941.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Jul 01 2019
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