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 A366272 #16 Oct 11 2023 08:40:08 %S A366272 1,1,7,49,399,3521,32767,316673,3147775,31977985,330544639,3465369601, %T A366272 36759599103,393820102657,4255079743487,46313023946753, %U A366272 507319247208447,5588706552643585,61875364144283647,688128167799619585,7683686768042639359 %N A366272 G.f. A(x) satisfies A(x) = 1 + x*(1 + x)^3*A(x)^4. %F A366272 a(n) = Sum_{k=0..n} binomial(3*k,n-k) * binomial(4*k,k)/(3*k+1). %F A366272 G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366436. %o A366272 (PARI) a(n) = sum(k=0, n, binomial(3*k, n-k)*binomial(4*k, k)/(3*k+1)); %Y A366272 Cf. A052709, A366221, A366273. %Y A366272 Cf. A366267, A366436. %K A366272 nonn %O A366272 0,3 %A A366272 _Seiichi Manyama_, Oct 06 2023