cp's OEIS Frontend

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.

A366455 G.f. A(x) satisfies A(x) = 1 + x + x/A(x)^(5/2).

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%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