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 A366222 #9 Oct 05 2023 08:39:35 %S A366222 1,1,7,42,287,2114,16338,130802,1075355,9025656,77021482,666267502, %T A366222 5829209046,51492030953,458612500526,4113879873624,37133888342707, %U A366222 337041718357465,3074153880004188,28162578841220534,259020296989987934,2390818256963083305 %N A366222 G.f. A(x) satisfies A(x) = 1 + x*(1 + x)^4*A(x)^3. %F A366222 a(n) = Sum_{k=0..n} binomial(4*k,n-k) * binomial(3*k,k)/(2*k+1). %o A366222 (PARI) a(n) = sum(k=0, n, binomial(4*k, n-k)*binomial(3*k, k)/(2*k+1)); %Y A366222 Cf. A364475, A366200, A366221. %Y A366222 Cf. A099235, A360082. %K A366222 nonn %O A366222 0,3 %A A366222 _Seiichi Manyama_, Oct 04 2023