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 A366437 #10 Oct 10 2023 05:08:39 %S A366437 1,1,-7,49,-427,4165,-43435,473977,-5344333,61772179,-727993301, %T A366437 8714701219,-105672771225,1295237037815,-16021641194545, %U A366437 199747074505773,-2507395464414008,31664298046926328,-401994771266030880,5127701624204157600,-65684716411944207144 %N A366437 G.f. A(x) satisfies A(x) = 1 + x * ((1 - x) / A(x))^(7/2). %F A366437 a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(9*k/2-1,k) * binomial(7*k/2,n-k) / (9*k/2-1). %o A366437 (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(9*k/2-1, k)*binomial(7*k/2, n-k)/(9*k/2-1)); %Y A366437 Partial sums give A366406. %Y A366437 Cf. A366431, A366432, A366433, A366434, A366435, A366436. %K A366437 sign %O A366437 0,3 %A A366437 _Seiichi Manyama_, Oct 09 2023