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 A365034 E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))^3). 1
 1, 1, 11, 175, 4317, 142561, 5929513, 297901899, 17557448681, 1188110627137, 90804918357261, 7737033497254579, 727253150819898541, 74760871323339663489, 8344094871249960257009, 1004872166403751985971291, 129883465213311163328142417 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..16. FORMULA a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(3*k,n-k)/k!. PROG (PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(3*k, n-k)/k!); CROSSREFS Cf. A363357, A365033. Cf. A364942. Sequence in context: A223067 A280442 A218330 * A196664 A003729 A230388 Adjacent sequences: A365031 A365032 A365033 * A365035 A365036 A365037 KEYWORD nonn AUTHOR Seiichi Manyama, Aug 17 2023 STATUS approved

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Last modified May 26 05:37 EDT 2024. Contains 372807 sequences. (Running on oeis4.)