|
| |
|
|
A012341
|
|
arcsin(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+248/6!*x^6+11328/8!*x^8...
|
|
0
|
|
|
|
0, 2, 8, 248, 11328, 1091232, 148080000, 30317577600, 8228536780800, 2957031184028160, 1336782441018009600, 749500660718368634880, 508063303148296391147520, 410659058984740631962951680
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
Table of n, a(n) for n=0..13.
|
|
|
FORMULA
|
a(n) ~ sqrt(tan(1)) * (2*n)! / (sqrt(2*Pi) * n^(3/2) * (sin(1))^(2*n)). - Vaclav Kotesovec, Feb 08 2015
|
|
|
MATHEMATICA
|
nn = 20; Table[(CoefficientList[Series[ArcSin[ArcSin[x]^2], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* Vaclav Kotesovec, Feb 08 2015 *)
|
|
|
CROSSREFS
|
Sequence in context: A067583 A120378 A012345 * A299374 A203317 A258161
Adjacent sequences: A012338 A012339 A012340 * A012342 A012343 A012344
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
|
EXTENSIONS
|
a(0)=0 prepended by Vaclav Kotesovec, Feb 08 2015
|
|
|
STATUS
|
approved
|
| |
|
|
