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A012893 arcsinh(sin(x)+log(x+1)) = 2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4+243/5!*x^5... 0
0, 2, -1, -7, 18, 243, -1785, -19086, 308980, 2736225, -90239805, -495769586, 38522052690, 39766893593, -22481798964989, 111035038388104, 16941789968380680, -219516343596465735, -15750892172912678361 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

FORMULA

Lim sup n->infinity (|a(n)|/n!)^(1/n) = 2.0027513568... = abs(1/r), where r is the complex root of the equation (r+1)*exp(sin(r)) = exp(I). - Vaclav Kotesovec, Nov 02 2013

MATHEMATICA

CoefficientList[Series[ArcSinh[Sin[x]+Log[x+1]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)

CROSSREFS

Sequence in context: A178622 A013070 A012888 * A013075 A009281 A141516

Adjacent sequences:  A012890 A012891 A012892 * A012894 A012895 A012896

KEYWORD

sign

AUTHOR

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

EXTENSIONS

Prepended missing a(0)=0 from Vaclav Kotesovec, Nov 01 2013

STATUS

approved

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Last modified May 30 11:39 EDT 2020. Contains 334724 sequences. (Running on oeis4.)