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A294350
Product of first n terms of the binomial transform of the partition function (A000041).
1
1, 2, 10, 130, 4420, 388960, 87516000, 49796604000, 70960160700000, 251057048556600000, 2188464292267882200000, 46682131818366195208200000, 2421822316605019841206207800000, 303875733353698259555507717497200000, 91748896295748761809334889636212098800000
OFFSET
0,2
MATHEMATICA
Table[Product[Sum[Binomial[m, k]*PartitionsP[k], {k, 0, m}], {m, 0, n}], {n, 0, 15}]
PROG
(PARI) a(n) = prod(m=0, n, sum(k=0, m, binomial(m, k)*numbpart(k))); \\ Michel Marcus, Oct 29 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 29 2017
STATUS
approved