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.

A293494 E.g.f.: exp(x^2/(1 - x^3)).

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%I A293494 #12 Oct 10 2017 19:23:33
%S A293494 1,0,2,0,12,120,120,5040,42000,181440,5473440,46569600,479666880,
%T A293494 12713500800,123519876480,2190354566400,54922842374400,
%U A293494 652587628492800,16192687807296000,400439258111692800,5994400896144460800,182793304684134144000,4590673238662192281600
%N A293494 E.g.f.: exp(x^2/(1 - x^3)).
%F A293494 E.g.f.: Product_{k>0} exp(x^(3*k-1)).
%F A293494 a(n) ~ exp(2*sqrt(3*n)/3 - n - 1/6) * n^(n-1/4) / (sqrt(2) * 3^(1/4)). - _Vaclav Kotesovec_, Oct 10 2017
%o A293494 (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x^2/(1-x^3))))
%o A293494 (PARI) N=66; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, exp(x^(3*k-1)))))
%Y A293494 Cf. A293493.
%K A293494 nonn
%O A293494 0,3
%A A293494 _Seiichi Manyama_, Oct 10 2017