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Search: id:A036283
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| A036283 |
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Write cosec x = 1/x + Sum e_n x^(2n-1)/(2n-1)!; sequence gives denominators of e_n. |
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+0
8
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| 6, 60, 126, 120, 66, 16380, 6, 4080, 7182, 3300, 138, 32760, 6, 1740, 42966, 8160, 6, 34545420, 6, 270600, 37926, 1380, 282, 1113840, 66, 3180, 21546, 3480, 354, 1703601900
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Denominator of [2^(2n-1) - 1] * Bernoulli(2n)/n.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 22 2009: (Start)
The products of the first n terms of this sequence appear in the denominators of the a(n) formulae of the right hand columns of triangle A161739. See A000292 (n=1), A107963 (n=2), A161740 (n=3) and A161741 (n=4). The next six values of n show that this pattern persists.
(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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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).
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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-A036282.
Cf. A006953.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 2009: (Start)
Equals the denominators of the LS1[ -2*m,n=1] matrix coefficients of A160487 for m = 1, 2, ...
(End)
Sequence in context: A007357 A002827 A137498 this_sequence A126576 A121287 A069072
Adjacent sequences: A036280 A036281 A036282 this_sequence A036284 A036285 A036286
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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 (njas(AT)research.att.com).
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EXTENSIONS
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Title corrected and offset changed by Johannes W. Meijer (meijgia(AT)hotmail.com), May 21 2009
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