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 A366401 #11 Oct 09 2023 11:19:26 %S A366401 1,2,9,58,436,3572,30935,278532,2581043,24453404,235790159,2306367444, %T A366401 22829030276,228240387070,2301498462245,23379656027868, %U A366401 239038022347243,2457891085704180,25400777844198274,263685720722690420,2748421883496133866 %N A366401 G.f. A(x) satisfies A(x) = (1 + x * A(x)^(7/2)) / (1 - x). %F A366401 a(n) = Sum_{k=0..n} binomial(n+5*k/2,n-k) * binomial(7*k/2,k) / (5*k/2+1). %o A366401 (PARI) a(n) = sum(k=0, n, binomial(n+5*k/2, n-k)*binomial(7*k/2, k)/(5*k/2+1)); %Y A366401 Cf. A349313, A366400, A366402, A366403, A366404, A366405, A366406, A366407. %K A366401 nonn %O A366401 0,2 %A A366401 _Seiichi Manyama_, Oct 09 2023