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A012856
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Numerators of coefficients in Taylor series expansion of log(cosec(x)*arcsin(x)).
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1
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0, 1, 1, 193, 25, 4933, 4401359, 36740677, 3071547701, 23133946330973, 329484655084859, 21691682982342361, 13881630720619393, 69213549869735245153, 3593575793538669123431, 10240663960560618779544197, 9484738025292216993019060741, 8496155203670918507329390777, 4389630332959873242573538670607401
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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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+...
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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);
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CROSSREFS
| Cf. A202380.
Sequence in context: A203490 A008698 A202930 * A114859 A088119 A142925
Adjacent sequences: A012853 A012854 A012855 * A012857 A012858 A012859
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KEYWORD
| nonn,frac
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AUTHOR
| Patrick Demichel (dml(AT)hpfrcu03.france.hp.com)
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EXTENSIONS
| Corrected by N. J. A. Sloane, Dec 18 2011, based on discussions on the Sequence Fans Mailing List, Dec 13-17 2011.
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