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Numerator of [x^(2n+1)] in the Taylor expansion arcsin(cosec(x) - cosech(x)) = x/3 + x^3/162 + 5*x^5/1134 + 19*x^7/76545 + 13793*x^9/218245104 + ...
1

%I #14 Nov 11 2016 21:25:03

%S 1,1,5,19,13793,7487,235549,4400752781,1455564577,75143281206379,

%T 17910727755514921,208450205999558953,8864292850179951461,

%U 36884532202496983982602507

%N Numerator of [x^(2n+1)] in the Taylor expansion arcsin(cosec(x) - cosech(x)) = x/3 + x^3/162 + 5*x^5/1134 + 19*x^7/76545 + 13793*x^9/218245104 + ...

%H G. C. Greubel, <a href="/A013531/b013531.txt">Table of n, a(n) for n = 0..235</a>

%t Select[Numerator[CoefficientList[Series[ArcSin[1/Sin[x] - 1/Sinh[x]], {x, 0, 52}], x]], # != 0 &] (* _G. C. Greubel_, Nov 11 2016 *)

%Y Cf. A068917.

%K nonn,frac

%O 0,3

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

%E Name edited by _R. J. Mathar_, Dec 20 2011