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 A365156 #11 Aug 24 2023 07:48:27 %S A365156 1,3,27,295,3648,48513,677450,9797031,145458252,2204380144, %T A365156 33960095667,530268482913,8373331428836,133484219528982, %U A365156 2145376940485452,34725549386905863,565567039020594492,9261756210015412356,152410211630410153468 %N A365156 G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x))^2 )^3. %F A365156 If g.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x))^s )^t, then a(n) = Sum_{k=0..n} binomial(t*(n+k+1),k) * binomial(s*k,n-k)/(n+k+1). %o A365156 (PARI) a(n, s=2, t=3) = sum(k=0, n, binomial(t*(n+k+1), k)*binomial(s*k, n-k)/(n+k+1)); %Y A365156 Cf. A214372, A365155. %K A365156 nonn %O A365156 0,2 %A A365156 _Seiichi Manyama_, Aug 23 2023