A012761 Expansion of e.g.f. arctanh(cosh(x) * log(x+1)).

0, 1, -1, 7, -24, 203, -1575, 17869, -208152, 2978653, -45883485, 806530811, -15347080848, 321642878919, -7260372461251, 177107309744065, -4619185786492560, 128667734086725657, -3805156334531373561

Offset

0,4

Links

Table of n, a(n) for n=0..18.

Example

x - 1/2!*x^2 + 7/3!*x^3 - 24/4!*x^4 + 203/5!*x^5 ...

Mathematica

Range[0, 20]! CoefficientList[ Series[ ArcTanh[ Cosh[x] Log[x + 1]], {x, 0, 20}], x] (* Robert G. Wilson v, Jul 24 2018 *)

Crossrefs

Sequence in context: A009650 A111753 A198055 * A209483 A209342 A203117

Adjacent sequences: A012758 A012759 A012760 * A012762 A012763 A012764

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