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A009565
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Expansion of e.g.f. sinh(exp(x)*x).
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8
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0, 1, 2, 4, 16, 96, 576, 3368, 20672, 141760, 1091200, 9098112, 79676928, 726208640, 6919738112, 69344336896, 731241201664, 8076031881216, 92856867250176, 1106883171037184, 13655807547883520, 174298975125127168, 2300708116863287296, 31372716744306524160
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OFFSET
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0,3
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LINKS
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MAPLE
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a:= n-> add(`if`(k::odd, binomial(n, k)*k^(n-k), 0), k=0..n):
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MATHEMATICA
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With[{nmax = 50}, CoefficientList[Series[Sinh[x*Exp[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jan 21 2018 *)
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PROG
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(PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(x*exp(x))))) \\ G. C. Greubel, Jan 21 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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