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A013516
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Denominators in the Taylor expansion exp(cosec(x)-cot(x))=1 + x/2 + x^2/8 + x^3/16 + 3*x^4/128 + 37*x^5/3840 + 59*x^6/15360 + ...
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1, 2, 8, 16, 128, 3840, 15360, 92160, 1474560, 185794560, 3715891200, 117964800, 2831155200, 51011754393600, 13603134504960, 8569974738124800, 1371195958099968000, 46620662575398912000, 239763407530622976000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The numerators are apparently the same as A047691.
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EXAMPLE
| exp(cosec(x)-cot(x)) = 1 +1*x/(2^1*1!) + 1*x^2/(2^2*2!) + 3*x^3/(2^3*3!) + 9*x^4/(2^4*4!) + 37*x^5/(2^5*5!) + 177*x^6/(2^6*6!) +959*x^7/(2^7*7!)+ ...
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MAPLE
| A013516 := proc(n)
exp(csc(x)-cot(x)) ;
coeftayl( %, x=0, n) ;
denom(%) ;
end proc: # R. J. Mathar, Dec 18 2011
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CROSSREFS
| Cf. A006229, A002425 (expansion of cosec(x)-cot(x)).
Sequence in context: A199043 A046161 A092978 * A101059 A191999 A101658
Adjacent sequences: A013513 A013514 A013515 * A013517 A013518 A013519
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KEYWORD
| nonn,frac
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AUTHOR
| Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
| Corrected by R. J. Mathar, Dec 18 2011
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