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 A364629 #7 Jul 30 2023 09:20:12 %S A364629 1,3,14,94,735,6239,55888,520028,4977321,48689260,484623552, %T A364629 4892304686,49971163021,515496741918,5363023614620,56204877993184, %U A364629 592811175777029,6287909183751105,67029933733468729,717749621979800340,7716543390041275964 %N A364629 G.f. satisfies A(x) = (1+x*A(x)^3)/(1-x)^2. %F A364629 a(n) = Sum_{k=0..n} binomial(n+5*k+1,6*k+1) * binomial(3*k,k) / (2*k+1). %o A364629 (PARI) a(n) = sum(k=0, n, binomial(n+5*k+1, 6*k+1)*binomial(3*k, k)/(2*k+1)); %Y A364629 Cf. A162477, A364630. %Y A364629 Cf. A364620. %K A364629 nonn %O A364629 0,2 %A A364629 _Seiichi Manyama_, Jul 30 2023