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Numerator of the coefficient of [x^(2n)] of the Taylor series log(cosec(x)*arcsinh(x))= x^4/15 -x^6/30 +25*x^8/1134 -269*x^10/17010 +4401359*x^12/364864500-...
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%I #6 Dec 20 2011 14:55:22

%S 1,-1,25,-269,4401359,-5248651,3071547701,-6442201463,329484655084859,

%T -85737877363717,13881630720619393,-5324119220723357533,

%U 3593575793538669123431,-31257038840658566465059,9484738025292216993019060741,-6497059861630698641837006393,4389630332959873242573538670607401

%N Numerator of the coefficient of [x^(2n)] of the Taylor series log(cosec(x)*arcsinh(x))= x^4/15 -x^6/30 +25*x^8/1134 -269*x^10/17010 +4401359*x^12/364864500-...

%C The inner function is cosec(x)*arcsinh(x) = 1+x^4/15 -x^6/30 +344*x^8/14175 -767*x^10/42525 +...

%Y Cf. A202522 (denominators).

%K sign,frac

%O 2,3

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

%E Values replaced by numerators. - R. J. Mathar, Dec 20 2011