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A013518
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Numerator of [x^(2n+1)] in the Taylor expansion arcsin(cosec(x)-cot(x))= x/2 +x^3/16 +3*x^5/256 +83*x^7/30720 +8887*x^9/12386304 ...
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1, 1, 3, 83, 8887, 57539, 2419601, 298733192941, 84896691713, 54207578317691, 535009143553922969, 303988210353762448529, 39439620915967757710853, 18146112662693896499335287481
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| The e.g.f. of x/2, arcsin(cosec(x)-cot(x)) = x/(2^1*1!) + 3*x^3/(2^3*3!) + 45*x^5/(2^5*5!) +1743*x^7(/2^7*7!) + 133305*x^9/(2^9*9!) +..., is apparently covered by A012780.
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MATHEMATICA
| Numerator[Take[CoefficientList[Series[ArcSin[Csc[x]-Cot[x]], {x, 0, 30}], x], {2, -1, 2}]] (* From Harvey P. Dale, Feb 02 2012 *)
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CROSSREFS
| Cf. A089171.
Sequence in context: A173811 A093166 A111648 * A166241 A140158 A160875
Adjacent sequences: A013515 A013516 A013517 * A013519 A013520 A013521
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KEYWORD
| nonn,frac,changed
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AUTHOR
| Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
| Values replaced by numerators - R. J. Mathar, Dec 19 2011
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