A012619 - OEIS

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A012619

cosh(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+8400/8!*x^8...

1, 0, 12, 120, 8400, 237120, 41126976, 1414288512, 774359589120, -7305842952192, 43904341686828032, -6519096982922602496, 6522454342040400908288, -2519478812073315269099520 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	LINKS	`Table of n, a(n) for n=0..13.`
	FORMULA	`a(n) ~ (-1)^n * sinh(Pitanh(1)/2) tanh(1) * 2^(2n) n^(2n-1) / exp(2n). - Vaclav Kotesovec, Nov 01 2013`
	MATHEMATICA	`Table[n!SeriesCoefficient[Cosh[ArcSinh[x]Tan[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Nov 01 2013 )` `With[{nn=30}, Take[CoefficientList[Series[Cosh[ArcSinh[x]Tan[x]], {x, 0, nn}], x] Range[ 0, nn]!, {1, -1, 2}]] ( Harvey P. Dale, Dec 20 2021 *)`
	CROSSREFS	`Sequence in context: A012559 A009164 A012436 * A012563 A301898 A012441` `Adjacent sequences: A012616 A012617 A012618 * A012620 A012621 A012622`
	KEYWORD	`sign`
	AUTHOR	`Patrick Demichel (patrick.demichel(AT)hp.com)`
	STATUS	`approved`

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Last modified March 20 18:43 EDT 2023. Contains 361391 sequences. (Running on oeis4.)