|
| |
|
|
A012031
|
|
arcsinh(sin(sinh(x)))=x-1/3!*x^3+1/5!*x^5-113/7!*x^7+4033/9!*x^9...
|
|
1
|
|
|
|
1, -1, 1, -113, 4033, -307297, 32041153, -4722808145, 919792817281, -229762987386049, 71595055755086977, -27226195625057526833, 12411835138553868048961, -6681718218812850626513185
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,4
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n) ~ (2*n)! * (-1)^n * c / (sqrt(n) * (arcsin(log(1+sqrt(2))))^(2*n)), where c = 0.444000919811565867306663265... . - Vaclav Kotesovec, Feb 03 2015
|
|
|
MATHEMATICA
|
nn = 20; Table[(CoefficientList[Series[ArcSinh[Sin[Sinh[x]]], {x, 0, 2*nn+1}], x] * Range[0, 2*nn+1]!)[[n]], {n, 2, 2*nn, 2}] (* Vaclav Kotesovec, Feb 03 2015 *)
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
sign
|
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
|
STATUS
|
approved
|
| |
|
|
