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 A371585 #17 Mar 30 2024 01:40:57 %S A371585 1,2,15,130,1263,13210,145254,1655566,19385489,231803136,2818714210, %T A371585 34749228048,433317651224,5455934825956,69267925684377, %U A371585 885756704750960,11397912218979769,147483397060856046,1917785255491649284,25047838828467708506,328444729414573179950 %N A371585 G.f. satisfies A(x) = ( 1 + x*A(x)^(5/2) / (1 - x)^2 )^2. %H A371585 Seiichi Manyama, <a href="/A371585/b371585.txt">Table of n, a(n) for n = 0..873</a> %F A371585 a(n) = 2 * Sum_{k=0..n} binomial(5*k+2,k) * binomial(n+k-1,n-k)/(5*k+2). %o A371585 (PARI) a(n, r=2, s=2, t=5, u=0) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(n+(s-1)*k-1, n-k)/(t*k+u*(n-k)+r)); %Y A371585 Cf. A371580, A371583. %K A371585 nonn %O A371585 0,2 %A A371585 _Seiichi Manyama_, Mar 28 2024