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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

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

Cf. A086619, A218481, A294351.

Sequence in context: A185952 A258971 A011805 * A194158 A323715 A111135

Adjacent sequences:  A294347 A294348 A294349 * A294351 A294352 A294353

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Oct 29 2017

STATUS

approved

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Last modified April 19 08:34 EDT 2019. Contains 322241 sequences. (Running on oeis4.)