A012690 arcsinh(tanh(x)*cos(x))=x-6/3!*x^3+100/5!*x^5-5096/7!*x^7...

1, -6, 100, -5096, 523920, -90215136, 23393880640, -8507435854976, 4128617538965760, -2577268751229359616, 2011624742314369377280, -1919388801470757636909056, 2197928434387448658103603200

Offset

0,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

Formula

Limit n->infinity (|a(n)|/(2*n)!)^(1/(2*n)) = 1.472999955676005806224549179660050772... - Vaclav Kotesovec, Nov 01 2013

Mathematica

With[{nn=30}, Take[CoefficientList[Series[ArcSinh[Tanh[x]*Cos[x]], {x, 0, nn}], x]Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Dec 13 2012 *)

Crossrefs

Sequence in context: A214381 A078629 A012497 * A196693 A196726 A197066

Adjacent sequences: A012687 A012688 A012689 * A012691 A012692 A012693

Keyword

sign

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Status

approved