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 A381832 #10 Mar 08 2025 09:39:31
%S A381832 1,2,10,81,796,8616,98973,1184324,14602486,184219731,2366543116,
%T A381832 30851212416,407106050261,5427274340091,72986372975716,
%U A381832 988937692146346,13487903251385562,185022817888443780,2551096865411701371,35335463473311506321,491444773227779518956,6860346682881319595632
%N A381832 G.f. A(x) satisfies A(x) = C(x*A(x)^3) / (1 - x), where C(x) is the g.f. of A000108.
%F A381832 a(n) = Sum_{k=0..n} binomial(5*k+1,k) * binomial(n+2*k,n-k)/(5*k+1).
%o A381832 (PARI) a(n) = sum(k=0, n, binomial(5*k+1, k)*binomial(n+2*k, n-k)/(5*k+1));
%Y A381832 Cf. A014137, A188687, A364592.
%Y A381832 Cf. A000108, A381786.
%K A381832 nonn
%O A381832 0,2
%A A381832 _Seiichi Manyama_, Mar 08 2025