A012039 - OEIS

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A012039

sinh(sin(arcsinh(x))) = x-1/3!*x^3+1/5!*x^5+111/7!*x^7-9407/9!*x^9...

1, -1, 1, 111, -9407, 957791, -131065791, 23876150351, -5645293077119, 1689130316350143, -625455343415905919, 281176376077651011119, -150982531394396522439999, 95493861079696805301099551 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,4`
	LINKS	`Table of n, a(n) for n=0..13.`
	FORMULA	`a(n) ~ (-1)^n * cos(sinh(Pi/2)) * cosh(Pi/2) * 2^(2n+1) n^(2n) / exp(2n). - Vaclav Kotesovec, Oct 30 2013`
	MATHEMATICA	`Table[n!SeriesCoefficient[Sinh[Sin[ArcSinh[x]]], {x, 0, n}], {n, 1, 40, 2}] ( Vaclav Kotesovec, Oct 30 2013 )` `With[{nn=30}, Take[CoefficientList[Series[Sinh[Sin[ArcSinh[x]]], {x, 0, nn}], x] Range[ 0, nn-1]!, {2, -1, 2}]] ( Harvey P. Dale, Mar 18 2023 *)`
	CROSSREFS	`Sequence in context: A232080 A332914 A129051 * A286117 A286083 A286731` `Adjacent sequences: A012036 A012037 A012038 * A012040 A012041 A012042`
	KEYWORD	`sign,changed`
	AUTHOR	`Patrick Demichel (patrick.demichel(AT)hp.com)`
	STATUS	`approved`

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Last modified March 21 13:52 EDT 2023. Contains 361402 sequences. (Running on oeis4.)