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 A364594 #11 Jul 29 2023 10:52:49 %S A364594 1,1,2,4,11,31,98,316,1065,3649,12775,45299,162713,590097,2159015, %T A364594 7957003,29517141,110116277,412879256,1555048142,5880591163, %U A364594 22319380999,84992915958,324634976440,1243396473153,4774504667881,18376620653851,70883537152927 %N A364594 G.f. satisfies A(x) = 1/(1-x) + x^2*(1-x)*A(x)^4. %F A364594 a(n) = Sum_{k=0..floor(n/2)} binomial(n,2*k) * binomial(4*k,k) / (3*k+1). %o A364594 (PARI) a(n) = sum(k=0, n\2, binomial(n, 2*k)*binomial(4*k, k)/(3*k+1)); %Y A364594 Cf. A110199, A364593. %Y A364594 Cf. A364592, A364596. %K A364594 nonn,easy %O A364594 0,3 %A A364594 _Seiichi Manyama_, Jul 29 2023