A012698 E.g.f.: sin(arctanh(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 + ...

0, 0, 2, -3, 16, -50, 248, -504, -1584, 94536, -1464768, 23328360, -336539040, 5198852880, -79862710800, 1306170600840, -21763435223040, 382939844024640, -6915154663557120, 130859230589792640

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Mathematica

With[{nn=20}, CoefficientList[Series[Sin[ArcTanh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, May 09 2014 *)

Crossrefs

Sequence in context: A012356 A012352 A012704 * A380687 A302611 A012355

Adjacent sequences: A012695 A012696 A012697 * A012699 A012700 A012701

Keyword

sign

Author

Patrick Demichel

Extensions

First two terms prepended and definition clarified by Harvey P. Dale, May 09 2014

Status

approved