A012859 Numerator of the coefficient of [x^(2n)] of the Taylor series log(cosec(x)*arcsinh(x)).

1, -1, 25, -269, 4401359, -5248651, 3071547701, -6442201463, 329484655084859, -85737877363717, 13881630720619393, -5324119220723357533, 3593575793538669123431, -31257038840658566465059, 9484738025292216993019060741, -6497059861630698641837006393, 4389630332959873242573538670607401

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.

Example

x^4/15 - x^6/30 + 25*x^8/1134 - 269*x^10/17010 + 4401359*x^12/364864500 - ...

Crossrefs

Cf. A202522 (denominators).

Sequence in context: A058482 A114932 A329537 * A010830 A393719 A022717

Adjacent sequences: A012856 A012857 A012858 * A012860 A012861 A012862

Keyword

sign,frac

Author

Patrick Demichel

Extensions

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

Status

approved