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 A366405 G.f. A(x) satisfies A(x) = (1 + x / A(x)^(5/2)) / (1 - x). 9

%I #10 Oct 09 2023 11:20:15

%S 1,2,-3,22,-138,1012,-7839,63506,-531024,4549276,-39723484,352237844,

%T -3163252976,28711196184,-262964888021,2427319896584,-22557930343459,

%U 210889624536396,-1981972609174109,18714482015314016,-177453862702083994,1689045253793239952

%N G.f. A(x) satisfies A(x) = (1 + x / A(x)^(5/2)) / (1 - x).

%F a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(7*k/2-1,k) * binomial(5*k/2-1,n-k) / (7*k/2-1).

%o (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(7*k/2-1, k)*binomial(5*k/2-1, n-k)/(7*k/2-1));

%Y Cf. A366400, A366401, A366402, A366403, A366404, A366406, A366407.

%K sign

%O 0,2

%A _Seiichi Manyama_, Oct 09 2023

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