|
|
A013207
|
|
Expansion of e.g.f.: log(sech(x)+arcsinh(x))=x-2/2!*x^2+4/3!*x^3-12/4!*x^4+68/5!*x^5...
|
|
0
|
|
|
0, 1, -2, 4, -12, 68, -440, 3064, -26208, 265936, -2945152, 35730176, -485182720, 7235106240, -115677206528, 1984468240000, -36707903762432, 725871298851072, -15190637885095936, 336136505074527232
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
MATHEMATICA
|
With[{nn=20}, CoefficientList[Series[Log[Sech[x]+ArcSinh[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 22 2018 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
EXTENSIONS
|
Zero prepended and definition clarified by Harvey P. Dale, Mar 22 2018
|
|
STATUS
|
approved
|
|
|
|