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 A364761 #8 Aug 06 2023 11:04:05 %S A364761 1,-1,-2,5,12,-41,-89,391,733,-4051,-6320,44120,54990,-496406,-465932, %T A364761 5710408,3637847,-66714699,-22683218,787957397,35371351,-9376925921, %U A364761 2356626520,112147043475,-61910867756,-1345231820826,1158452138826,16156200619772 %N A364761 G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^3). %F A364761 a(n) = (1/(n+1)) * Sum_{k=0..n} (-1)^k * binomial(n+1,k) * binomial(3*k,n-k). %o A364761 (PARI) a(n) = sum(k=0, n, (-1)^k*binomial(n+1, k)*binomial(3*k, n-k))/(n+1); %Y A364761 Cf. A007440, A364760, A364762, A364763. %Y A364761 Cf. A364742. %K A364761 sign %O A364761 0,3 %A A364761 _Seiichi Manyama_, Aug 05 2023