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.

A326862 E.g.f.: Product_{k>=1} (1 + x^(4*k-1)/(4*k-1)) / (1 - x^(4*k-1)/(4*k-1)).

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%I A326862 #7 Jan 11 2020 11:45:05
%S A326862 1,0,0,4,0,0,160,1440,0,26880,691200,7257600,11827200,395366400,
%T A326862 14125363200,185119334400,442810368000,24049778688000,919255538073600,
%U A326862 13662913904640000,54833495408640000,3627817738960896000,142917996623560704000,2442221696292618240000
%N A326862 E.g.f.: Product_{k>=1} (1 + x^(4*k-1)/(4*k-1)) / (1 - x^(4*k-1)/(4*k-1)).
%H A326862 Vaclav Kotesovec, <a href="/A326862/b326862.txt">Table of n, a(n) for n = 0..400</a>
%F A326862 a(n) ~ exp(-gamma/2) * n! / (2*sqrt(n)), where gamma is the Euler-Mascheroni constant A001620.
%t A326862 nmax = 30; CoefficientList[Series[Product[(1+x^(4*k-1)/(4*k-1))/(1-x^(4*k-1)/(4*k-1)), {k, 1, Floor[nmax/4]+1}], {x, 0, nmax}], x] * Range[0, nmax]!
%Y A326862 Cf. A326855, A326779.
%Y A326862 Cf. A305199, A326859, A326860, A326863.
%K A326862 nonn
%O A326862 0,4
%A A326862 _Vaclav Kotesovec_, Jul 27 2019