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.
%I A375224 #9 Aug 06 2024 09:18:36
%S A375224 1,2,8,54,492,5400,68520,987000,15928080,284588640,5570994240,
%T A375224 118432147680,2714315123520,66662973336960,1745585471710080,
%U A375224 48522632817859200,1426443527673964800,44200671544495065600,1439417651948346470400,49134301244829555955200
%N A375224 Expansion of e.g.f. exp( x^2/(1-x)^3 ) / (1-x)^2.
%F A375224 a(n) = n! * Sum_{k=0..floor(n/2)} binomial(n+1+k,n-2*k)/k!.
%o A375224 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x^2/(1-x)^3)/(1-x)^2))
%o A375224 (PARI) a(n) = n!*sum(k=0, n\2, binomial(n+1+k, n-2*k)/k!);
%Y A375224 Cf. A375172, A375225.
%Y A375224 Cf. A052921, A361626.
%K A375224 nonn
%O A375224 0,2
%A A375224 _Seiichi Manyama_, Aug 06 2024