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 A369693 #9 Jan 29 2024 09:00:09 %S A369693 1,4,10,20,36,72,220,936,4045,15836,56174,187148,616651,2114448, %T A369693 7717752,29498000,114243269,437915876,1650264874,6149423732, %U A369693 22909545269,86129798600,327872238092,1260466647944,4867739842821,18801022899756,72501445905366 %N A369693 G.f. satisfies A(x) = 1/(1-x)^4 + x^4*A(x)^4. %F A369693 a(n) = Sum_{k=0..floor(n/4)} binomial(n+8*k+3,n-4*k) * binomial(4*k,k) / (3*k+1). %o A369693 (PARI) a(n) = sum(k=0, n\4, binomial(n+8*k+3, n-4*k)*binomial(4*k, k)/(3*k+1)); %Y A369693 Cf. A086615, A369691. %Y A369693 Cf. A364591. %K A369693 nonn %O A369693 0,2 %A A369693 _Seiichi Manyama_, Jan 29 2024