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 A379244 #8 Dec 19 2024 10:10:34
%S A379244 1,4,40,540,8400,141876,2528760,46815116,891483808,17350187364,
%T A379244 343578992328,6900588813564,140230648164720,2878066866407316,
%U A379244 59571280942854808,1242093725341221996,26064579113472078144,550041399791036747460,11665771061882347813224,248527169321049466503132
%N A379244 G.f. A(x) satisfies A(x) = ( (1 + x*A(x)^3)/(1 - x*A(x)) )^2.
%F A379244 G.f.: B(x)^2 where B(x) is the g.f. of A364167.
%F A379244 a(n) = Sum_{k=0..n} binomial(2*n+4*k+2,k) * binomial(3*n+3*k+1,n-k)/(n+2*k+1).
%o A379244 (PARI) a(n) = sum(k=0, n, binomial(2*n+4*k+2, k)*binomial(3*n+3*k+1, n-k)/(n+2*k+1));
%Y A379244 Cf. A032349, A371675.
%Y A379244 Cf. A364167, A379174.
%K A379244 nonn
%O A379244 0,2
%A A379244 _Seiichi Manyama_, Dec 18 2024