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 A009565 Expansion of e.g.f. sinh(exp(x)*x). 8
 0, 1, 2, 4, 16, 96, 576, 3368, 20672, 141760, 1091200, 9098112, 79676928, 726208640, 6919738112, 69344336896, 731241201664, 8076031881216, 92856867250176, 1106883171037184, 13655807547883520, 174298975125127168, 2300708116863287296, 31372716744306524160 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..541 MAPLE a:= n-> add(`if`(k::odd, binomial(n, k)*k^(n-k), 0), k=0..n): seq(a(n), n=0..25); # Alois P. Heinz, Jan 15 2018 MATHEMATICA With[{nmax = 50}, CoefficientList[Series[Sinh[x*Exp[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jan 21 2018 *) PROG (PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(x*exp(x))))) \\ G. C. Greubel, Jan 21 2018 CROSSREFS Cf. A009121. Sequence in context: A156335 A026089 A052835 * A009838 A088335 A066318 Adjacent sequences: A009562 A009563 A009564 * A009566 A009567 A009568 KEYWORD nonn,easy AUTHOR R. H. Hardin EXTENSIONS Extended and signs tested by Olivier Gérard, Mar 15 1997 STATUS approved

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Last modified August 6 22:18 EDT 2024. Contains 374998 sequences. (Running on oeis4.)