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 A366497 #9 Oct 11 2023 08:40:11 %S A366497 1,1,8,64,596,6028,64352,713812,8146490,95040886,1128369960, %T A366497 13588883712,165598378308,2038279921692,25303322898120, %U A366497 316443054086214,3983011314348183,50418720131975193,641444450506307160,8197477211343267688,105185927879224420064 %N A366497 G.f. A(x) satisfies A(x) = 1 + x*(1+x)^(7/2)*A(x)^(9/2). %F A366497 G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366437. %F A366497 a(n) = Sum_{k=0..n} binomial(7*k/2,n-k) * binomial(9*k/2,k) / (7*k/2+1). %o A366497 (PARI) a(n) = sum(k=0, n, binomial(7*k/2, n-k)*binomial(9*k/2, k)/(7*k/2+1)); %Y A366497 Cf. A001006, A366221, A366272, A366273, A366495, A366496, A366498, A366499, A366500, A366501. %Y A366497 Cf. A366437. %K A366497 nonn %O A366497 0,3 %A A366497 _Seiichi Manyama_, Oct 11 2023