A013162 - OEIS

A013162

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

0, 2, -1, -4, 18, 146, -1425, -7592, 210028, 559322, -50827005, 106120692, 17584275654, -154934766198, -8006009893245, 152561646167328, 4407064919207640, -159846661630850958, -2597264235213998553

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OFFSET

0,2

LINKS

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

EXAMPLE

2*x - 1/2!*x^2 - 4/3!*x^3 + 18/4!*x^4 + 146/5!*x^5 ...

MATHEMATICA

With[{nn=20}, CoefficientList[Series[ArcSinh[ArcTanh[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 28 2025 *)

CROSSREFS

Sequence in context: A013156 A012925 A012930 * A010252 A032105 A259472

Adjacent sequences: A013159 A013160 A013161 * A013163 A013164 A013165

KEYWORD

sign

AUTHOR

Patrick Demichel

EXTENSIONS

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 31 2018

STATUS

approved