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a(n) = Product_{k=1..n} |Stirling1(n,k)| * k!.
1

%I #8 Jul 02 2019 09:09:33

%S 1,1,2,72,114048,14515200000,234709539840000000,

%T 698712561855933972480000000,523145284340194421434020324704256000000,

%U 128974285815375032145715297526239008267285037056000000,13271794881195622862513637643190449698396346431150489600000000000000000

%N a(n) = Product_{k=1..n} |Stirling1(n,k)| * k!.

%t Table[Product[Abs[StirlingS1[n, k]] k!, {k, 1, n}], {n, 0, 10}]

%o (PARI) a(n) = prod(k=1, n, abs(stirling(n, k, 1))*k!); \\ _Michel Marcus_, Jul 02 2019

%Y Cf. A000178, A006252, A048594, A058807, A308942.

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Jul 01 2019