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A013570 Numerator of [x^n] of the Taylor series log(arctan(x)/log(x+1)). 1
1, -13, 1, 11, 19, -10243, 751, 49873, 2857, -72752269, 434293, 1524997, 8181904909, -454156185199, 5044289, 23214243090113, 5026792806787, -2652186577877894731, 69028763155644023 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The inner function is arctan(x)/log(x+1) = 1 + x/2 - 5*x^2/12 - x^3/8 + 29*x^4/144 + 151*x^5/1440 - 9979*x^6/60480 - ...

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..400

EXAMPLE

Log(arctan(x)/log(x+1)) = x/2 - 13*x^2/24 + x^3/8 + 11*x^4/192 + 19*x^5/288 - 10243*x^6/72576 + ...

MATHEMATICA

Numerator[Take[CoefficientList[Series[Log[ArcTan[x]/Log[x + 1]], {x, 0, 50}], x], {1, -1, 1}]] (* G. C. Greubel, Nov 19 2016 *)

CROSSREFS

Sequence in context: A185409 A010235 A196381 * A010236 A058018 A037283

Adjacent sequences:  A013567 A013568 A013569 * A013571 A013572 A013573

KEYWORD

sign,frac

AUTHOR

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

EXTENSIONS

Name edited by R. J. Mathar, Dec 22 2011

STATUS

approved

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Last modified November 19 08:51 EST 2017. Contains 294923 sequences.