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 A366455 #12 Oct 10 2023 16:23:22 %S A366455 1,2,-5,30,-215,1710,-14516,128830,-1180920,11093830,-106245975, %T A366455 1033454774,-10181848705,101394979530,-1018972470275,10320779179380, %U A366455 -105250097458410,1079767027094630,-11136159773691830,115395278542757580,-1200814926210284360 %N A366455 G.f. A(x) satisfies A(x) = 1 + x + x/A(x)^(5/2). %F A366455 G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366401. %F A366455 a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(7*k/2-1,k) * binomial(n+5*k/2-2,n-k) / (7*k/2-1). %o A366455 (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(7*k/2-1, k)*binomial(n+5*k/2-2, n-k)/(7*k/2-1)); %Y A366455 Cf. A112478, A364393, A364407, A364408, A364409, A366266, A366267, A366268, A366452, A366453, A366454, A366456. %Y A366455 Cf. A366401. %K A366455 sign %O A366455 0,2 %A A366455 _Seiichi Manyama_, Oct 10 2023