|
| |
|
|
A012716
|
|
arcsinh(arctanh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3-52/5!*x^5-440/6!*x^6...
|
|
0
|
|
|
|
0, 1, 2, 4, 0, -52, -440, -968, 20160, 407248, 3393568, -7743232, -873283840, -15700243392, -92423547008, 3404251259008, 126748437358592, 1959254285705472, -9945595116842496, -1499843474292945920
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
|
|
|
FORMULA
|
Lim sup n->infinity (|a(n)|/n!)^(1/n) = 1.451312658311... = abs(1/r), where r is the complex root of the equation exp(r)*log((1+r)/(1-r)) = -2*I. - Vaclav Kotesovec, Nov 02 2013
|
|
|
MATHEMATICA
|
With[{nn=20}, CoefficientList[Series[ArcSinh[ArcTanh[x]Exp[x]], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Apr 05 2012, for right offset adapted by Vaclav Kotesovec, Nov 01 2013 *)
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
sign
|
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
|
EXTENSIONS
|
|
|
|
STATUS
|
approved
|
| |
|
|
