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 A102076 Numerators of e.g.f. cosec(arctanh(x)). 1
 -1, -1, 125, 5585, 146835, 199553825, 16151898425, 3951808537625, 54159749674008875, 7187045526725631125, 4971794789793419144375, 836133262846273312334375, 125448452657856727433328125 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..13. EXAMPLE cosec(arctanh(x)) = 1/x - x/6 - 1/12*x^3/3! + 125/126x^5/5! +... cosech(arctan(x)) = 1/x + x/6 - 1/12*x^3/3! - 125/126x^5/5! +... MATHEMATICA With[{nn=30}, Take[Numerator[CoefficientList[Series[Csc[ArcTanh[x]], {x, 0, nn}], x] Range[0, nn-1]!], {2, -1, 2}]]//Quiet (* Harvey P. Dale, Aug 01 2021 *) CROSSREFS Denominators are in A102077. Sequence in context: A265477 A017583 A046232 * A223229 A030695 A317981 Adjacent sequences: A102073 A102074 A102075 * A102077 A102078 A102079 KEYWORD sign,frac AUTHOR Ralf Stephan, Dec 31 2004 STATUS approved

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Last modified August 8 15:25 EDT 2024. Contains 375022 sequences. (Running on oeis4.)