A012700 Expansion of e.g.f. tan(arctanh(x) * log(x+1)).

0, 0, 2, -3, 16, -50, 608, -4284, 53856, -517824, 7365312, -93511440, 1542037440, -24197565600, 452937477120, -8397165641760, 176769352058880, -3770083289172480, 88455117393715200, -2127638031857717760

Offset

0,3

Links

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

Example

2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 ...

Mathematica

With[{nn=20}, Drop[CoefficientList[Series[Tan[ArcTanh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, May 07 2018 *)

Crossrefs

Sequence in context: A012699 A012354 A012358 * A012705 A103331 A052506

Adjacent sequences: A012697 A012698 A012699 * A012701 A012702 A012703

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 24 2018

Status

approved