A013096 - OEIS

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A013096

cos(arcsinh(x)+tan(x))=1-4/2!*x^2+8/4!*x^4-214/6!*x^6+8632/8!*x^8...

1, -4, 8, -214, 8632, -381754, 56522540, -6087452310, 1458087413200, -333863833250482, 114840891055289940, -44663949601714088046, 21870152705694370672888, -12543311598815172475041226 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	LINKS	`Table of n, a(n) for n=0..13.`
	FORMULA	`a(n) ~ (-1)^n * 2^(2n) n^(2n-1) sinh(Pi/2+tanh(1)) / exp(2*n). - Vaclav Kotesovec, Nov 01 2013`
	MATHEMATICA	`Table[n!SeriesCoefficient[Cos[ArcSinh[x]+Tan[x]], {x, 0, n}], {n, 0, 40, 2}] ( Vaclav Kotesovec, Nov 01 2013 )` `With[{nn=30}, Take[CoefficientList[Series[Cos[ArcSinh[x]+Tan[x]], {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]] ( Harvey P. Dale, Jun 18 2017 *)`
	CROSSREFS	`Sequence in context: A133262 A120822 A013065 * A200729 A116092 A085631` `Adjacent sequences: A013093 A013094 A013095 * A013097 A013098 A013099`
	KEYWORD	`sign`
	AUTHOR	`Patrick Demichel (patrick.demichel(AT)hp.com)`
	STATUS	`approved`

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Last modified January 30 22:45 EST 2023. Contains 359947 sequences. (Running on oeis4.)