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A012706
Expansion of e.g.f.: cosh(arctanh(x)*log(x+1)) = 1+12/4!*x^4-60/5!*x^5+570/6!*x^6...
0
1, 0, 0, 0, 12, -60, 570, -3780, 39648, -350784, 4337160, -48488880, 695537832, -9378296928, 153105187872, -2408666551200, 44087009541888, -790629339479424, 16037164063659456, -322336133481089664, 7178495810797951872, -159644799778176115200
OFFSET
0,5
MATHEMATICA
terms = 20; CoefficientList[Cosh[ArcTanh[x] Log[1 + x]] + O[x]^terms, x] * Range[0, terms - 1]! (* Jean-François Alcover, May 19 2017 *)
With[{nn=30}, CoefficientList[Series[Cosh[ArcTanh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Dec 02 2017 *)
CROSSREFS
Sequence in context: A009077 A012702 A009163 * A012359 A012707 A355671
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
Definition clarified by Harvey P. Dale, Dec 02 2017
STATUS
approved