|
|
A013097
|
|
arcsinh(arcsinh(x)+tan(x))=2*x-7/3!*x^3+273/5!*x^5-25953/7!*x^7...
|
|
1
|
|
|
2, -7, 273, -25953, 4935993, -1550066093, 727992520877, -477706621753073, 417426531017836113, -468554517235713007893, 657016357969010026027221, -1125485924474211875062297145, 2312766814097571417683969638841
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
Limit n->infinity (a(n)/((-1)^n*(2*n+1)!*n^(-3/2)))^(1/(2*n+1)) = 1.97099530685431257534... - Vaclav Kotesovec, Nov 01 2013
|
|
MATHEMATICA
|
Table[n!*SeriesCoefficient[ArcSinh[ArcSinh[x]+Tan[x]], {x, 0, n}], {n, 1, 41, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)
With[{nn=30}, Take[CoefficientList[Series[ArcSinh[ArcSinh[x]+Tan[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Jun 17 2021 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
STATUS
|
approved
|
|
|
|