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%I #6 Oct 29 2017 13:07:06
%S 1,2,10,130,4420,388960,87516000,49796604000,70960160700000,
%T 251057048556600000,2188464292267882200000,46682131818366195208200000,
%U 2421822316605019841206207800000,303875733353698259555507717497200000,91748896295748761809334889636212098800000
%N Product of first n terms of the binomial transform of the partition function (A000041).
%t Table[Product[Sum[Binomial[m, k]*PartitionsP[k], {k, 0, m}], {m, 0, n}], {n, 0, 15}]
%o (PARI) a(n) = prod(m=0, n, sum(k=0, m, binomial(m,k)*numbpart(k))); \\ _Michel Marcus_, Oct 29 2017
%Y Cf. A086619, A218481, A294351.
%K nonn
%O 0,2
%A _Vaclav Kotesovec_, Oct 29 2017