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 A371610 #11 Mar 30 2024 02:36:53
%S A371610 1,2,5,30,162,996,6449,43086,296750,2086244,14920110,108202326,
%T A371610 793793106,5880645408,43931188235,330570658228,2503247547204,
%U A371610 19061888196960,145874708874538,1121290880430144,8653411948545596,67022656919955620,520808586384360885
%N A371610 G.f. satisfies A(x) = ( 1 + x * (1 + x*A(x)^3)^2 )^2.
%F A371610 a(n) = Sum_{k=0..n} binomial(6*(n-k)+2,k) * binomial(2*k,n-k)/(3*(n-k)+1).
%F A371610 G.f.: A(x) = B(x)^2 where B(x) is the g.f. of A137967.
%o A371610 (PARI) a(n, r=2, s=2, t=0, u=6) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(s*k, n-k)/(t*k+u*(n-k)+r));
%Y A371610 Cf. A137967, A371615.
%K A371610 nonn
%O A371610 0,2
%A A371610 _Seiichi Manyama_, Mar 29 2024