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A012760
Expansion of e.g.f. arcsinh(cosh(x) * log(x+1)).
0
0, 1, -1, 4, -6, -7, 135, -968, 1764, 58669, -1068885, 10920908, -41078730, -1105690419, 31085174939, -413045671712, 692738905320, 126897371107929, -3901725279332361, 61836650105641300, -52537696659319150
OFFSET
0,4
EXAMPLE
x - 1/2!*x^2 + 4/3!*x^3 - 6/4!*x^4 - 7/5!*x^5 ...
MATHEMATICA
Range[0, 20]! CoefficientList[ Series[ArcSinh[Cosh[x] Log[x + 1]], {x, 0, 20}], x] (* Robert G. Wilson v, Jul 24 2018 *)
CROSSREFS
Sequence in context: A102134 A102133 A192121 * A333742 A107648 A004786
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) inserted and title improved by Sean A. Irvine, Jul 24 2018
STATUS
approved