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A013253
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Expansion of e.g.f. tanh(log(x+1) - arctan(x)).
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0
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0, 0, -1, 4, -6, 0, -90, 600, 6440, -96320, 289800, -583200, 83754000, -1139424000, -2961758800, 128868376000, 1166569872000, -23158452096000, -763427813616000, 16657066415808000, 110377962138080000
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OFFSET
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0,4
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LINKS
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EXAMPLE
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-(1/2!)*x^2 + (4/3!)*x^3 - (6/4!)*x^4 - (90/6!)*x^6 + ...
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MATHEMATICA
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With[{nn=20}, Drop[CoefficientList[Series[Tanh[Log[x+1]-ArcTan[x]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, Sep 29 2016 *)
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PROG
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(PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(tanh(log(x+1) - atan(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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