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.

A319364 Expansion of e.g.f. exp(x^3/3)/(1 - x).

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%I A319364 #12 Dec 17 2020 20:30:40
%S A319364 1,1,2,8,32,160,1000,7000,56000,506240,5062400,55686400,668483200,
%T A319364 8690281600,121663942400,1825003980800,29200063692800,496401082777600,
%U A319364 8935231687782400,169769402067865600,3395388041357312000,71303153503662080000,1568669377080565760000,36079395672853012480000
%N A319364 Expansion of e.g.f. exp(x^3/3)/(1 - x).
%H A319364 Robert Israel, <a href="/A319364/b319364.txt">Table of n, a(n) for n = 0..449</a>
%F A319364 a(n) ~ n!*exp(1/3).
%F A319364 D-finite with recurrence: n*a(n) - n^2*a(n-1) - n*(n-1)*(n-2)*a(n-3) + n*(n-1)*(n-2)*(n-3)*a(n-4) = 0. - _Robert Israel_, Dec 17 2020
%p A319364 seq(n!*coeff(series(exp(x^3/3)/(1 - x),x=0,24),x,n),n=0..23); # _Paolo P. Lava_, Jan 09 2019
%t A319364 nmax = 23; CoefficientList[Series[Exp[x^3/3]/(1 - x), {x, 0, nmax}], x] Range[0, nmax]!
%o A319364 (PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(x^3/3)/(1 - x))) \\ _Michel Marcus_, Dec 17 2020
%Y A319364 Cf. A000090, A000522, A030977, A052502, A130905, A319365.
%K A319364 nonn
%O A319364 0,3
%A A319364 _Ilya Gutkovskiy_, Sep 17 2018