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.

A292908 Expansion of e.g.f. exp(x^3 * exp(-x)).

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%I A292908 #24 Jul 10 2022 09:41:10
%S A292908 1,0,0,6,-24,60,240,-4830,39984,-180936,-605520,24616350,-318005160,
%T A292908 2385790836,-86488584,-350543790870,6917020827360,-79778558317200,
%U A292908 357117438258144,9237998478286134,-304182278908538040,5166739059890655660,-48968796671246843160
%N A292908 Expansion of e.g.f. exp(x^3 * exp(-x)).
%H A292908 Seiichi Manyama, <a href="/A292908/b292908.txt">Table of n, a(n) for n = 0..505</a>
%F A292908 a(n) = n! * Sum_{k=0..floor(n/3)} (-k)^(n-3*k)/(k! * (n-3*k)!). - _Seiichi Manyama_, Jul 10 2022
%o A292908 (PARI) x='x+O('x^66); Vec(serlaplace(exp(x^3*exp(-x))))
%o A292908 (PARI) a(n) = n!*sum(k=0, n\3, (-k)^(n-3*k)/(k!*(n-3*k)!)); \\ _Seiichi Manyama_, Jul 10 2022
%Y A292908 Column k=3 of A292973.
%Y A292908 Cf. A292889.
%K A292908 sign
%O A292908 0,4
%A A292908 _Seiichi Manyama_, Sep 26 2017