A294350 Product of first n terms of the binomial transform of the partition function (A000041).

1, 2, 10, 130, 4420, 388960, 87516000, 49796604000, 70960160700000, 251057048556600000, 2188464292267882200000, 46682131818366195208200000, 2421822316605019841206207800000, 303875733353698259555507717497200000, 91748896295748761809334889636212098800000

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