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Search: id:A006953
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| A006953 |
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Denominator of Bernoulli(2n)/2n.
(Formerly M2039)
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+0
4
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| 12, 120, 252, 240, 132, 32760, 12, 8160, 14364, 6600, 276, 65520, 12, 3480, 85932, 16320, 12, 69090840, 12, 541200, 75852, 2760, 564, 2227680, 132, 6360, 43092, 6960, 708, 3407203800, 12, 32640, 388332, 120, 9372, 10087262640
(list; graph; listen)
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OFFSET
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1,1
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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, 1964 (and various reprintings), p. 259, (6.3.18) and (6.3.19); also p. 810.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 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, December 1972, p. 259, (6.3.18) and (6.3.19).
G. Everest, A. J. van der Poorten, Y. Puri and T. Ward, Integer Sequences and Periodic Points, Journal of Integer Sequences, Vol. 5 (2002), Article 02.2.3
E. Z. Goren, Table of values of Riemann zeta function
Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Harmonic Number
Index entries for sequences related to Bernoulli numbers.
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FORMULA
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Zeta(1-2n) = - Bernoulli(2n)/(2n).
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EXAMPLE
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Sequence Bernoulli(2n)/(2n) (n >= 1) begins 1/12, -1/120, 1/252, -1/240, 1/132, -691/32760, 1/12, -3617/8160, ...
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CROSSREFS
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Numerators given by A001067.
Sequence in context: A075366 A076633 A110423 this_sequence A121032 A093334 A001816
Adjacent sequences: A006950 A006951 A006952 this_sequence A006954 A006955 A006956
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KEYWORD
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nonn,frac,easy,nice
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AUTHOR
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Simon Plouffe, njas
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