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A013550
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Numerator of the coefficient of [x^n] in the Taylor expansion exp(cot(x) - cosech(x)).
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1
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1, -1, 1, -55, 217, -4219, 214279, -802171, 824071, -109684277, 337533513773, -760100160121, 8320611986431, -265779449377027, 2303253020856673, -417652078505070229, 7111553692366818727, -7396136516120375032117
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OFFSET
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0,4
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COMMENTS
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The inner function is cot(x) - cosech(x) = -x/6 - x^3/24 - x^5/15120 - 17*x^7/40320 - x^9/23950080 - 691*x^11/159667200 - ...
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LINKS
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FORMULA
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1 - x/6 + x^2/72 - 55*x^3/1296 + 217*x^4/31104 - 4219*x^5/6531840 + ...
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MATHEMATICA
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Numerator[Take[CoefficientList[Series[Exp[Cot[x] - Csch[x]], {x, 0, 40}], x], {1, -1, 1}]] (* G. C. Greubel, Nov 13 2016 *)
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CROSSREFS
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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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STATUS
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approved
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