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 A366405 G.f. A(x) satisfies A(x) = (1 + x / A(x)^(5/2)) / (1 - x). 9
 1, 2, -3, 22, -138, 1012, -7839, 63506, -531024, 4549276, -39723484, 352237844, -3163252976, 28711196184, -262964888021, 2427319896584, -22557930343459, 210889624536396, -1981972609174109, 18714482015314016, -177453862702083994, 1689045253793239952 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..21. FORMULA 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). PROG (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)); CROSSREFS Cf. A366400, A366401, A366402, A366403, A366404, A366406, A366407. Sequence in context: A154254 A264696 A166122 * A114996 A153256 A137077 Adjacent sequences: A366402 A366403 A366404 * A366406 A366407 A366408 KEYWORD sign AUTHOR Seiichi Manyama, Oct 09 2023 STATUS approved

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Last modified April 19 08:28 EDT 2024. Contains 371782 sequences. (Running on oeis4.)