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.

A265953 E.g.f.: Product_{k>=1} 1/(1 - exp(x)*x^k).

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%I A265953 #13 Dec 24 2015 07:50:26
%S A265953 1,1,6,39,328,3305,39396,536053,8210784,139670721,2612934820,
%T A265953 53260680341,1175587507392,27929705129521,710678763809028,
%U A265953 19284199100275845,555961318128936256,16972543570002866945,547046699544108738756,18566047855851466092949
%N A265953 E.g.f.: Product_{k>=1} 1/(1 - exp(x)*x^k).
%H A265953 Vaclav Kotesovec, <a href="/A265953/b265953.txt">Table of n, a(n) for n = 0..408</a>
%F A265953 a(n) ~ c * n! / LambertW(1)^n, where c = 1/(1 + LambertW(1)) * Product_{j>=1} 1/(1 - LambertW(1)^j) = 3.40413121452412914124892504613759007312040569..., LambertW(1) = A030178.
%t A265953 nmax=20; CoefficientList[Series[Product[1/(1-E^x*x^k), {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]!
%Y A265953 Cf. A030178, A030797, A265952.
%K A265953 nonn
%O A265953 0,3
%A A265953 _Vaclav Kotesovec_, Dec 19 2015