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A012655
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Expansion of e.g.f. arcsinh(tanh(x) * log(x+1)).
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0
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0, 0, 2, -3, 0, -10, 40, 504, -2352, -4824, 59008, -2753080, 51956960, -457517424, 3806598640, -21282319800, -762122185216, 20040705852992, -230870869215744, 1622064680555904, 59149402039301888
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..20.
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EXAMPLE
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2/2!*x^2 - 3/3!*x^3 - 10/5!*x^5 + 40/6!*x^6 ...
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[ArcSinh[Tanh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 27 2019 *)
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CROSSREFS
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Sequence in context: A279412 A012399 A012403 * A012650 A111606 A012653
Adjacent sequences: A012652 A012653 A012654 * A012656 A012657 A012658
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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 23 2018
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STATUS
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approved
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