A012702 Expansion of e.g.f.: cos(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7...

1, 0, 0, 0, -12, 60, -570, 3780, -36288, 290304, -3077160, 27976080, -325364952, 3125330208, -38076353952, 320524495200, -3277240862208, -12892686066816, 851147013155904, -38579486635656576, 1000229709289596288

Offset

0,5

Links

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

Mathematica

With[{nn=20}, CoefficientList[Series[Cos[ArcTanh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 11 2017 *)

Crossrefs

Sequence in context: A012360 A012708 A009077 * A009163 A012706 A012359

Adjacent sequences: A012699 A012700 A012701 * A012703 A012704 A012705

Keyword

sign

Author

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

Extensions

Definition clarified by Harvey P. Dale, Aug 11 2017

Status

approved