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 A365193 #8 Aug 25 2023 10:00:39
%S A365193 1,1,6,49,463,4760,51702,583712,6781774,80555066,973813974,
%T A365193 11941861079,148191437719,1857464450449,23481830726334,
%U A365193 299056887494427,3833349330581255,49416395972195630,640256115370243620,8332835556325119938,108890550249605779116
%N A365193 G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)^3).
%F A365193 a(n) = Sum_{k=0..n} binomial(3*n+2*k+1,k) * binomial(n-1,n-k)/(3*n+2*k+1).
%o A365193 (PARI) a(n) = sum(k=0, n, binomial(3*n+2*k+1, k)*binomial(n-1, n-k)/(3*n+2*k+1));
%Y A365193 Cf. A002295, A243667, A349332, A364748, A365192, A365194.
%Y A365193 Cf. A365187.
%K A365193 nonn
%O A365193 0,3
%A A365193 _Seiichi Manyama_, Aug 25 2023