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A012859 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-... 1
1, -1, 25, -269, 4401359, -5248651, 3071547701, -6442201463, 329484655084859, -85737877363717, 13881630720619393, -5324119220723357533, 3593575793538669123431, -31257038840658566465059, 9484738025292216993019060741, -6497059861630698641837006393, 4389630332959873242573538670607401 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,3

COMMENTS

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

LINKS

Table of n, a(n) for n=2..18.

CROSSREFS

Cf. A202522 (denominators).

Sequence in context: A221781 A058482 A114932 * A010830 A022717 A197279

Adjacent sequences:  A012856 A012857 A012858 * A012860 A012861 A012862

KEYWORD

sign,frac

AUTHOR

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

EXTENSIONS

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

STATUS

approved

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Last modified November 21 12:43 EST 2017. Contains 295001 sequences.