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 A366432 #11 Oct 10 2023 05:11:21
%S A366432 1,1,7,49,378,3136,27363,247597,2302511,21872361,211336755,2070577285,
%T A366432 20522662832,205411356794,2073258075175,21078157565623,
%U A366432 215658366319375,2218853063356937,22942886758494094,238284942878492146,2484736162773443446
%N A366432 G.f. A(x) satisfies A(x) = 1 + x * (A(x) / (1 - x))^(7/2).
%F A366432 a(n) = Sum_{k=0..n} binomial(n+5*k/2-1,n-k) * binomial(7*k/2,k) / (5*k/2+1).
%o A366432 (PARI) a(n) = sum(k=0, n, binomial(n+5*k/2-1, n-k)*binomial(7*k/2, k)/(5*k/2+1));
%Y A366432 Partial sums give A366401.
%Y A366432 Cf. A366431, A366433, A366434, A366435, A366436, A366437.
%K A366432 nonn
%O A366432 0,3
%A A366432 _Seiichi Manyama_, Oct 09 2023