|
|
A012875
|
|
Expansion of e.g.f.: arctanh(sech(x)*log(x+1))=x-1/2!*x^2+1/3!*x^3-12/4!*x^4+63/5!*x^5...
|
|
0
|
|
|
0, 1, -1, 1, -12, 63, -375, 3687, -35056, 378613, -4917645, 67955413, -1033969596, 17404675923, -314140085987, 6110547378491, -127722302945280, 2840677016304009, -67146193511101593, 1681517639666168201
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
LINKS
|
|
|
MATHEMATICA
|
With[{nn=20}, CoefficientList[Series[ArcTanh[Sech[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Feb 16 2016 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
EXTENSIONS
|
Zero prepended and definition clarified by Harvey P. Dale, Feb 16 2016
|
|
STATUS
|
approved
|
|
|
|