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 A370055 a(n) = 3*(3*n+2)!/(2*n+3)!. 3
 1, 3, 24, 330, 6552, 171360, 5581440, 218045520, 9945936000, 519177859200, 30535045632000, 1998518736614400, 144098325316915200, 11350405033583616000, 969837188805041356800, 89351761457237190912000, 8830056426362263572480000, 931769828125956695715840000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..17. FORMULA E.g.f.: exp( Sum_{k>=1} binomial(3*k,k) * x^k/k ). a(n) = 3*A076151(n+1) for n > 0. a(n) = A000142(n)*A001764(n+1). - Alois P. Heinz, Feb 08 2024 PROG (PARI) a(n) = 3*(3*n+2)!/(2*n+3)!; CROSSREFS Cf. A001763, A370054. Cf. A065866, A370058. Cf. A076151. Cf. A000142, A001764. Sequence in context: A319939 A082166 A354259 * A371007 A144003 A334775 Adjacent sequences: A370052 A370053 A370054 * A370056 A370057 A370058 KEYWORD nonn AUTHOR Seiichi Manyama, Feb 08 2024 STATUS approved

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Last modified May 20 02:27 EDT 2024. Contains 372703 sequences. (Running on oeis4.)