A012655 - OEIS

A012655

Expansion of e.g.f. arcsinh(tanh(x) * log(x+1)).

0, 0, 2, -3, 0, -10, 40, 504, -2352, -4824, 59008, -2753080, 51956960, -457517424, 3806598640, -21282319800, -762122185216, 20040705852992, -230870869215744, 1622064680555904, 59149402039301888

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

EXAMPLE

2/2!*x^2 - 3/3!*x^3 - 10/5!*x^5 + 40/6!*x^6 ...

MATHEMATICA

With[{nn=20}, CoefficientList[Series[ArcSinh[Tanh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 27 2019 *)

CROSSREFS

Sequence in context: A279412 A012399 A012403 * A012650 A111606 A012653

Adjacent sequences: A012652 A012653 A012654 * A012656 A012657 A012658

KEYWORD

sign

AUTHOR

Patrick Demichel (patrick.demichel(AT)hp.com)

EXTENSIONS

a(0) and a(1) inserted and title improved by Sean A. Irvine, Jul 23 2018

STATUS

approved