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A013265
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Expansion of e.g.f. tanh(log(x+1) - sinh(x)).
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0
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0, 0, -1, 1, -6, 23, -90, 509, -1960, 7251, 27720, -1167421, 20353608, -322757359, 4828920096, -72221046535, 1088176720800, -16527535024457, 253611377594496, -3894220888850401, 59159990565014280
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OFFSET
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0,5
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LINKS
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EXAMPLE
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-(1/2!)*x^2 + (1/3!)*x^3 - (6/4!)*x^4 + (23/5!)*x^5 - ...
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MATHEMATICA
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With[{nn=20}, Drop[CoefficientList[Series[Tanh[Log[x+1]-Sinh[x]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, May 24 2017 *)
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PROG
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(PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(tanh(log(x+1) - sinh(x))))) \\ Michel Marcus, Aug 03 2018
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
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a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 02 2018
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STATUS
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approved
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