|
| |
|
|
A013040
|
|
arctanh(sinh(x)+arcsin(x))=2*x+18/3!*x^3+938/5!*x^5+122066/7!*x^7...
|
|
0
|
|
|
|
2, 18, 938, 122066, 29635154, 11561687346, 6615385296570, 5218960553242866, 5429404407724397474, 7201623832416658882514, 11862352305394237757311946, 23755795427038939521773734290
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n) ~ (2*n)! / r^(2*n+1), where r = 0.4803099786153606144946517326733725892405... is the root of the equation sinh(r)+arcsin(r) = 1. - Vaclav Kotesovec, Feb 05 2015
|
|
|
MATHEMATICA
|
nn = 20; Table[(CoefficientList[Series[ArcTanh[ArcSin[x] + Sinh[x]], {x, 0, 2*nn+1}], x] * Range[0, 2*nn+1]!)[[n]], {n, 2, 2*nn, 2}] (* Vaclav Kotesovec, Feb 05 2015 *)
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
|
STATUS
|
approved
|
| |
|
|
