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A009062
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Expansion of e.g.f.: cos(sinh(x)*log(1+x)).
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1
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1, 0, 0, 0, -12, 60, -450, 2940, -20720, 155232, -1186920, 9474960, -74648376, 552593184, -3012161152, -10103577120, 836086634240, -22797582691456, 523741123519296, -11502212537522304, 251821773466887808
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OFFSET
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0,5
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LINKS
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MAPLE
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seq(coeff(series(factorial(n)*cos(sinh(x)*log(x+1)), x, n+1), x, n), n=0..25); # Muniru A Asiru, Jul 24 2018
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Cos[Sinh[x]*Log[1+x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Sep 06 2015 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(cos(sinh(x)*log(1+x)))) \\ G. C. Greubel, Jul 23 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sinh(x)*Log(1+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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Definition clarified and prior Mathematica program replaced by Harvey P. Dale, Sep 06 2015
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STATUS
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approved
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