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 A371583 #18 Mar 30 2024 02:37:42
%S A371583 1,2,13,104,940,9166,94044,1000602,10939780,122161128,1387361151,
%T A371583 15974899766,186069556707,2188416960148,25953579753464,
%U A371583 310022550197360,3726709235290628,45047517497268968,547217895030263028,6676784544374859088,81789906534091716353
%N A371583 G.f. satisfies A(x) = ( 1 + x*A(x)^(5/2) / (1 - x) )^2.
%H A371583 Seiichi Manyama, <a href="/A371583/b371583.txt">Table of n, a(n) for n = 0..896</a>
%F A371583 a(n) = 2 * Sum_{k=0..n} binomial(5*k+2,k) * binomial(n-1,n-k)/(5*k+2).
%F A371583 G.f.: A(x) = B(x)^2 where B(x) is the g.f. of A349332.
%o A371583 (PARI) a(n, r=2, s=1, 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 A371583 Cf. A045868, A270386, A371518, A371523.
%Y A371583 Cf. A349332, A371486, A371520.
%Y A371583 Cf. A371578, A371585.
%K A371583 nonn
%O A371583 0,2
%A A371583 _Seiichi Manyama_, Mar 28 2024