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.

A375226 Expansion of e.g.f. exp( (x / (1-x))^3 ) / (1-x)^2.

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%I A375226 #8 Aug 06 2024 09:21:40
%S A375226 1,2,6,30,240,2520,30600,413280,6168960,101666880,1842825600,
%T A375226 36483955200,782548905600,18048500870400,444816333561600,
%U A375226 11656620213638400,323500679915212800,9475966585948262400,292101319958063616000,9450373008137757696000
%N A375226 Expansion of e.g.f. exp( (x / (1-x))^3 ) / (1-x)^2.
%F A375226 a(n) = n! * Sum_{k=0..floor(n/3)} binomial(n+1,n-3*k)/k!.
%o A375226 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp((x/(1-x))^3)/(1-x)^2))
%o A375226 (PARI) a(n) = n!*sum(k=0, n\3, binomial(n+1, n-3*k)/k!);
%Y A375226 Cf. A361595, A375227.
%K A375226 nonn
%O A375226 0,2
%A A375226 _Seiichi Manyama_, Aug 06 2024