|
| |
|
|
A012587
|
|
E.g.f.: tan(arcsinh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+180/5!*x^5...
|
|
0
|
|
|
|
0, 1, 2, 4, 24, 180, 1240, 10456, 112896, 1316816, 16378528, 229634304, 3569726336, 59315089600, 1055150016128, 20254767489152, 415619313491968, 9028238025838848, 207506148418183680, 5043727679716764672
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n) ~ n! / ((Pi/2 + exp(r)/sqrt(1+r^2)) * r^(n+1)), where r = 0.782048434734397136830260131892318660005898990290325... is the root of the equation arcsinh(r)*exp(r) = Pi/2. - Vaclav Kotesovec, Feb 06 2015
|
|
|
MATHEMATICA
|
With[{nn=20}, Join[{0}, Rest[CoefficientList[Series[Tan[ArcSinh[x]Exp[x]], {x, 0, nn}], x]Range[0, nn]!]]] (* Harvey P. Dale, May 07 2012 *)
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
|
STATUS
|
approved
|
| |
|
|
