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A012700
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Expansion of e.g.f. tan(arctanh(x) * log(x+1)).
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0
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0, 0, 2, -3, 16, -50, 608, -4284, 53856, -517824, 7365312, -93511440, 1542037440, -24197565600, 452937477120, -8397165641760, 176769352058880, -3770083289172480, 88455117393715200, -2127638031857717760
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OFFSET
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0,3
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LINKS
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EXAMPLE
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2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 ...
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MATHEMATICA
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With[{nn=20}, Drop[CoefficientList[Series[Tan[ArcTanh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, May 07 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) and a(1) inserted and title improved by Sean A. Irvine, Jul 24 2018
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STATUS
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approved
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