A013097 - OEIS

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A013097

arcsinh(arcsinh(x)+tan(x))=2*x-7/3!*x^3+273/5!*x^5-25953/7!*x^7...

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	`Vaclav Kotesovec, Table of n, a(n) for n = 0..200`
	FORMULA	`Limit n->infinity (a(n)/((-1)^n(2n+1)!n^(-3/2)))^(1/(2n+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` `Adjacent sequences: A013094 A013095 A013096 * A013098 A013099 A013100`
	KEYWORD	`sign`
	AUTHOR	`Patrick Demichel (patrick.demichel(AT)hp.com)`
	STATUS	`approved`

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Last modified March 31 05:03 EDT 2023. Contains 361634 sequences. (Running on oeis4.)