A012856 Numerators of coefficients in Taylor series expansion of log(cosec(x)*arcsin(x)).

0, 1, 1, 193, 25, 4933, 4401359, 36740677, 3071547701, 23133946330973, 329484655084859, 21691682982342361, 13881630720619393, 69213549869735245153, 3593575793538669123431, 10240663960560618779544197, 9484738025292216993019060741, 8496155203670918507329390777, 4389630332959873242573538670607401

Offset

0,4

Links

Table of n, a(n) for n=0..18.

Example

1/3*x^2+1/15*x^4+193/5670*x^6+25/1134*x^8+4933/311850*x^10+4401359/364864500*x^12+...

Maple

t1:=log(csc(x)*arcsin(x));
t2:=series(t1, x, 50);
t3:=seriestolist(t2);
t3:=[seq(t3[2*i+1], i=0..(nops(t3)-1)/2 )];
t4:=map(numer, t3); t5:=map(denom, t3); lprint(t2);

Crossrefs

Cf. A202380.

Sequence in context: A202930 A300848 A340352 * A114859 A298728 A332457

Adjacent sequences: A012853 A012854 A012855 * A012857 A012858 A012859

Keyword

nonn,frac

Author

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

Extensions

Corrected by N. J. A. Sloane, Dec 18 2011, based on discussions on the Sequence Fans Mailing List, Dec 13-17 2011.

Status

approved