cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A294350 #6 Oct 29 2017 13:07:06
%S A294350 1,2,10,130,4420,388960,87516000,49796604000,70960160700000,
%T A294350 251057048556600000,2188464292267882200000,46682131818366195208200000,
%U A294350 2421822316605019841206207800000,303875733353698259555507717497200000,91748896295748761809334889636212098800000
%N A294350 Product of first n terms of the binomial transform of the partition function (A000041).
%t A294350 Table[Product[Sum[Binomial[m, k]*PartitionsP[k], {k, 0, m}], {m, 0, n}], {n, 0, 15}]
%o A294350 (PARI) a(n) = prod(m=0, n, sum(k=0, m, binomial(m,k)*numbpart(k))); \\ _Michel Marcus_, Oct 29 2017
%Y A294350 Cf. A086619, A218481, A294351.
%K A294350 nonn
%O A294350 0,2
%A A294350 _Vaclav Kotesovec_, Oct 29 2017