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.

A293123 E.g.f.: exp(-x^3/(1+x)).

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%I A293123 #14 Oct 01 2017 00:18:13
%S A293123 1,0,0,-6,24,-120,1080,-10080,100800,-1149120,14515200,-199584000,
%T A293123 2973801600,-47740492800,820928908800,-15049152518400,292919058432000,
%U A293123 -6031865968128000,130990787582054400,-2991455760887193600,71659101232502784000,-1796424431562528768000
%N A293123 E.g.f.: exp(-x^3/(1+x)).
%H A293123 Seiichi Manyama, <a href="/A293123/b293123.txt">Table of n, a(n) for n = 0..444</a>
%F A293123 a(n) = (-1)^n * A293049(n).
%F A293123 a(n) ~ (-1)^n * n^(n-1/4) * exp(-5/2 + 2*sqrt(n) - n) / sqrt(2). - _Vaclav Kotesovec_, Sep 30 2017
%t A293123 CoefficientList[Series[E^(-x^3/(1+x)), {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Sep 30 2017 *)
%o A293123 (PARI) x='x+O('x^66); Vec(serlaplace(exp(-x^3/(1+x))))
%Y A293123 Column k=2 of A293134.
%Y A293123 Cf. A293049.
%K A293123 sign
%O A293123 0,4
%A A293123 _Seiichi Manyama_, Sep 30 2017