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 A379252 #8 Dec 19 2024 10:09:59
%S A379252 1,4,40,572,9552,174004,3352440,67171500,1385457568,29220437860,
%T A379252 627287390664,13661411796508,301096488681200,6703186665881876,
%U A379252 150517000234338072,3404956079399106700,77526315562007606080,1775260286963982001860,40857405217738915499880,944584396250976659451388
%N A379252 G.f. A(x) satisfies A(x) = ( (1 + x*A(x))/(1 - x*A(x)^3) )^2.
%F A379252 G.f.: B(x)^2 where B(x) is the g.f. of A379253.
%F A379252 a(n) = Sum_{k=0..n} binomial(2*n+5*k+1,k) * binomial(2*n+4*k+2,n-k)/(n+2*k+1).
%o A379252 (PARI) a(n) = sum(k=0, n, binomial(2*n+5*k+1, k)*binomial(2*n+4*k+2, n-k)/(n+2*k+1));
%Y A379252 Cf. A006319, A032349, A379251.
%Y A379252 Cf. A379253.
%K A379252 nonn
%O A379252 0,2
%A A379252 _Seiichi Manyama_, Dec 19 2024