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 A367057 #10 Nov 04 2023 10:12:25
%S A367057 1,1,3,13,59,294,1549,8477,47715,274468,1606284,9533595,57247969,
%T A367057 347169053,2123148153,13079296531,81087402683,505543820304,
%U A367057 3167578950478,19935616736595,125971005957924,798883392476824,5083047458454395,32439034490697090
%N A367057 G.f. satisfies A(x) = 1 + x*A(x)^3 + x^3*A(x).
%F A367057 a(n) = Sum_{k=0..floor(n/3)} binomial(2*n-5*k+1,k) * binomial(3*n-8*k,n-3*k)/(2*n-5*k+1).
%o A367057 (PARI) a(n) = sum(k=0, n\3, binomial(2*n-5*k+1, k)*binomial(3*n-8*k, n-3*k)/(2*n-5*k+1));
%Y A367057 Cf. A366676, A367058, A367059, A367060, A367061, A367062.
%K A367057 nonn
%O A367057 0,3
%A A367057 _Seiichi Manyama_, Nov 04 2023