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 A367044 #11 Nov 03 2023 11:20:20 %S A367044 1,1,2,9,40,192,963,5000,26649,144990,802023,4497150,25504380, %T A367044 146037955,843134220,4902661503,28686940053,168785282241,997968554037, %U A367044 5926617173205,35335723342962,211433954924955,1269252184538408,7642065274626855,46137678521488140 %N A367044 G.f. satisfies A(x) = 1 - x^2 + x*A(x)^3. %F A367044 a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(2*(n-2*k)+1,k) * binomial(3*(n-2*k),n-2*k)/(2*(n-2*k)+1). %o A367044 (PARI) a(n) = sum(k=0, n\2, (-1)^k*binomial(2*(n-2*k)+1, k)*binomial(3*(n-2*k), n-2*k)/(2*(n-2*k)+1)); %Y A367044 Cf. A025262, A367045. %Y A367044 Cf. A367040. %K A367044 nonn %O A367044 0,3 %A A367044 _Seiichi Manyama_, Nov 03 2023