A013163 - OEIS

A013163

Expansion of e.g.f.: arctanh(arctanh(x)+log(x+1))=2*x-1/2!*x^2+20/3!*x^3-54/4!*x^4...

0, 2, -1, 20, -54, 1196, -7590, 183424, -2024456, 53868512, -879522480, 25940060736, -567297596448, 18589297654560, -510176264397072, 18555679255219584, -611191404598032000, 24595483932280127232

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OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..394

MATHEMATICA

With[{nn=20}, CoefficientList[Series[ArcTanh[ArcTanh[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Apr 20 2016 *)

CROSSREFS

Sequence in context: A012927 A013158 A012932 * A191719 A009768 A051492

Adjacent sequences: A013160 A013161 A013162 * A013164 A013165 A013166

KEYWORD

sign

AUTHOR

Patrick Demichel

EXTENSIONS

Zero prepended and definition clarified by Harvey P. Dale, Apr 20 2016

STATUS

approved