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A013536
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Numerators of coefficients in Taylor series expansion of exp(cosec(x)-cotanh(x)).
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3
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1, -1, 1, 53, -215, 3341, 199159, 391337, -4128623, 710371933, 257347648013, 6178130243, -111384981593, 225570264096917, 1407269115959761, 1546226961439379, 69849267671401979, 5665951032145572087083, 467410556088873329284747, -1602619428542796266047, 429563383515510620615310131, 218332153959703843484481031721
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..21.
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EXAMPLE
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1-1/6*x+1/72*x^2+53/1296*x^3-215/31104*x^4+3341/6531840*x^5+199159/235146240*x^6+...
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MAPLE
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t1:=exp(csc(x)-coth(x));
t2:=series(t1, x, 30);
t3:=seriestolist(t2);
t4:=map(numer, t3); t5:=map(denom, t3); lprint(t2);
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CROSSREFS
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Cf. A202382.
Sequence in context: A005146 A158644 A158656 * A142000 A053652 A142316
Adjacent sequences: A013533 A013534 A013535 * A013537 A013538 A013539
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KEYWORD
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sign,frac
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
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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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STATUS
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approved
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