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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.

A366500 G.f. A(x) satisfies A(x) = 1 + x / ((1+x)^(7/2)*A(x)^(5/2)).

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%I A366500 #10 Oct 11 2023 08:42:41
%S A366500 1,1,-6,36,-251,1961,-16477,145307,-1326227,12420057,-118666032,
%T A366500 1152120806,-11333969511,112728949041,-1131701419316,11452480598696,
%U A366500 -116702578057106,1196469605151736,-12332629378843566,127727907921601146,-1328542834131885506
%N A366500 G.f. A(x) satisfies A(x) = 1 + x / ((1+x)^(7/2)*A(x)^(5/2)).
%F A366500 G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366432.
%F A366500 a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(n+5*k/2-1,n-k) * binomial(7*k/2-1,k) / (7*k/2-1).
%o A366500 (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(n+5*k/2-1, n-k)*binomial(7*k/2-1, k)/(7*k/2-1));
%Y A366500 Cf. A001006, A366221, A366272, A366273, A366495, A366496, A366497, A366498, A366499, A366501.
%Y A366500 Cf. A366432.
%K A366500 sign
%O A366500 0,3
%A A366500 _Seiichi Manyama_, Oct 11 2023