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 A363819 G.f. satisfies A(x) = (1 + x/A(x)^2)/(1 - x)^3. 1
 1, 4, 1, 38, -193, 1697, -14298, 127836, -1175835, 11078851, -106354266, 1036575329, -10230191020, 102031153812, -1026763493315, 10412602349343, -106308046392516, 1091783632303656, -11271378486953873, 116907289944782853, -1217649336037820058 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..20. FORMULA a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(3*k-1,k) * binomial(3*(2*k-1),n-k)/(3*k-1). PROG (PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(3*k-1, k)*binomial(3*(2*k-1), n-k)/(3*k-1)); CROSSREFS Cf. A366364, A363818. Sequence in context: A362589 A303987 A297900 * A298495 A193962 A369868 Adjacent sequences: A363816 A363817 A363818 * A363820 A363821 A363822 KEYWORD sign AUTHOR Seiichi Manyama, Oct 18 2023 STATUS approved

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Last modified June 19 13:40 EDT 2024. Contains 373503 sequences. (Running on oeis4.)