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A009059
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Expansion of e.g.f. cos(sinh(x))/exp(x).
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1
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1, -1, 0, 2, -8, 24, -56, 104, 64, -1792, 12672, -68608, 309376, -1203840, 2917888, 5570816, -163782656, 1636425728, -12716052480, 86205304832, -495644917760, 2289265803264, -4004259037184, -73881736609792, 1359174582304768
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OFFSET
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0,4
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LINKS
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MAPLE
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seq(coeff(series(factorial(n)*cos(sinh(x))/exp(x), x, n+1), x, n), n=0..25); # Muniru A Asiru, Jul 24 2018
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MATHEMATICA
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With[{nmax = 30}, CoefficientList[Series[Cos[Sinh[x]]/Exp[x], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 23 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(cos(sinh(x))/exp(x))) \\ G. C. Greubel, Jul 23 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sinh(x))/Exp(x))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 23 2018
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CROSSREFS
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KEYWORD
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sign,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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