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 A365194 #19 Dec 26 2024 02:59:30
%S A365194 1,1,6,52,529,5889,69462,853013,10791018,139659604,1840435530,
%T A365194 24611295075,333132371248,4555465710569,62839303262352,
%U A365194 873363902976309,12218178082489873,171918448407833112,2431415226089290680,34544425914499450493,492807213597429920649
%N A365194 G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)^6).
%F A365194 a(n) = Sum_{k=0..n} binomial(6*n-k+1,k) * binomial(n-1,n-k)/(6*n-k+1).
%F A365194 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(5*n+2*k+1,k) * binomial(n-1,n-k)/(5*n+2*k+1).
%F A365194 a(n) = (1/n) * Sum_{k=0..floor((n-1)/2)} binomial(n,k) * binomial(6*n-k,n-1-2*k) for n > 0. - _Seiichi Manyama_, Dec 26 2024
%o A365194 (PARI) a(n) = sum(k=0, n, binomial(6*n-k+1, k)*binomial(n-1, n-k)/(6*n-k+1));
%Y A365194 Cf. A002295, A243667, A349332, A364748, A365192, A365193.
%Y A365194 Cf. A219537, A271469, A364765.
%K A365194 nonn
%O A365194 0,3
%A A365194 _Seiichi Manyama_, Aug 25 2023