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 A366454 #14 Oct 10 2023 10:42:59 %S A366454 1,2,-3,12,-58,312,-1794,10794,-67113,427800,-2780677,18360504, %T A366454 -122809416,830379966,-5666465445,38974338126,-269915089194, %U A366454 1880576960904,-13172489198859,92705253700620,-655219698720486,4648722344211012,-33096948925057703 %N A366454 G.f. A(x) satisfies A(x) = 1 + x + x/A(x)^(3/2). %F A366454 G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366400. %F A366454 a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(5*k/2-1,k) * binomial(n+3*k/2-2,n-k) / (5*k/2-1). %o A366454 (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(5*k/2-1, k)*binomial(n+3*k/2-2, n-k)/(5*k/2-1)); %Y A366454 Cf. A112478, A364393, A364407, A364408, A364409, A366266, A366267, A366268, A366452, A366453, A366455, A366456. %Y A366454 Cf. A366400. %K A366454 sign %O A366454 0,2 %A A366454 _Seiichi Manyama_, Oct 10 2023