|
| |
|
|
A012951
|
|
tan(tan(x)+arcsin(x))=2*x+19/3!*x^3+777/5!*x^5+68913/7!*x^7...
|
|
1
|
|
|
|
2, 19, 777, 68913, 10552545, 2473498553, 822718602721, 368440852318193, 213728212488651073, 155891727584133609833, 139640409724657756366273, 150696011591407998679347809, 192838464530919232345949380513
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n) ~ 2 * (2*n+1)! / ((1/sqrt(1-r^2) + 1/cos(r)^2) * r^(2*n+2)), where r = 0.6847459895634158528826803233486350363469025628718894198... is the root of the equation tan(r) + arcsin(r) = Pi/2. - Vaclav Kotesovec, Feb 07 2015
|
|
|
MATHEMATICA
|
With[{nn=30}, Take[CoefficientList[Series[Tan[Tan[x]+ArcSin[x]], {x, 0, nn}], x]Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Sep 16 2012 *)
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
|
STATUS
|
approved
|
| |
|
|
