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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
Sequence in context: A012942 A208018 A013058 * A037067 A012987 A187603
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved

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Last modified March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)