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 A366698 #10 Oct 17 2023 08:19:31 %S A366698 1,3,13,106,1000,10315,112732,1282262,15021212,179994093,2195807684, %T A366698 27179964798,340514877488,4309512389582,55014793453124, %U A366698 707582318505678,9160219144520568,119268621622902920,1560830776582842660,20519083242145870778,270851956372499374728 %N A366698 G.f. satisfies A(x) = (1 + x)^2 + x*A(x)^4. %F A366698 a(n) = Sum_{k=0..n} binomial(2*(3*k+1),n-k) * binomial(4*k,k)/(3*k+1). %o A366698 (PARI) a(n) = sum(k=0, n, binomial(2*(3*k+1), n-k)*binomial(4*k, k)/(3*k+1)); %Y A366698 Cf. A366267, A366699, A366700. %Y A366698 Cf. A364621. %K A366698 nonn %O A366698 0,2 %A A366698 _Seiichi Manyama_, Oct 16 2023