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A036282
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Write cosec x = 1/x + Sum e_n x^(2n-1)/(2n-1)!; sequence gives numerators of e_n.
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5
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1, 7, 31, 127, 511, 1414477, 8191, 118518239, 5749691557, 91546277357, 162912981133, 1982765468311237, 22076500342261, 455371239541065869, 925118910976041358111, 16555640865486520478399, 1302480594081611886641, 904185845619475242495834469891
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OFFSET
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1,2
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COMMENTS
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Contribution from Johannes W. Meijer, May 24 2009: (Start)
Absolute value of numerator of [2^(2n-1) - 1] * Bernoulli(2n)/n.
(End)
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 75 (4.3.68).
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LINKS
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Table of n, a(n) for n=1..18.
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 75 (4.3.68).
Duane W. DeTemple, Shun-Hwa Wang, Half-integer approximations for the partial sums of harmonic series, J. Math. Anal. Applic. 160 (1991) 149-156
Eric Weisstein's World of Mathematics, Riemann-Siegel Functions
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EXAMPLE
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x^(-1)+1/6*x+7/360*x^3+31/15120*x^5+...
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CROSSREFS
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Cf. A036280-A036283.
Contribution from Johannes W. Meijer, May 24 2009: (Start)
Equals the absolute values of the numerators of the LS1[ -2*m,n=1] matrix coefficients of A160487 for m = 1, 2, .. ,.
(End)
Sequence in context: A002147 A169785 A083420 * A033474 A001896 A180147
Adjacent sequences: A036279 A036280 A036281 * A036283 A036284 A036285
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Title corrected and offset changed by Johannes W. Meijer, May 21 2009
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STATUS
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approved
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