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Search: id:A106458
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| A106458 |
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Bernoulli number denominators, with zeros at the odd places. |
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+0
3
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| 1, 2, 6, 0, 30, 0, 42, 0, 30, 0, 66, 0, 2730, 0, 6, 0, 510, 0, 798, 0, 330, 0, 138, 0, 2730, 0, 6, 0, 870, 0, 14322, 0, 510, 0, 6, 0, 1919190, 0, 6, 0, 13530, 0, 1806, 0, 690, 0, 282, 0, 46410, 0, 66, 0, 1590, 0, 798, 0, 870, 0, 354, 0, 56786730
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A027642 is the correct version of this sequence. - N. J. A. Sloane (njas(AT)research.att.com).
Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 19 2009: (Start)
Equals right border of triangle A159688 if zeros are inserted in A159688 to
allow for (n+1) terms per row. (End)
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REFERENCES
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Robert M. Young, "Excursions in Calculus" MAA, 1992, p. 91 J. H. Conway & R. K. Guy, "The Book of Numbers", Springer-Verlag, 1996, p. 108
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FORMULA
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In addition to generating functions as shown in A006954, the Bernoulli numbers starting with B(1)= -1/2 may be generated from the following system of simultaneous equations: (exemplified by 5 rows): 2 0 0 0 0 = -1 3 3 0 0 0 = -1 4 6 4 0 0 = -1 5 10 10 5 0 = -1 6 15 20 15 6 = -1
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EXAMPLE
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Solutions to the system of simultaneous equations with 5 rows: (-1/2, 1/6, 0, -1/30, 0)
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CROSSREFS
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Cf. A027642, A006954, A007318.
A159688 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 19 2009]
Sequence in context: A057635 A139717 A138703 this_sequence A122685 A109581 A056876
Adjacent sequences: A106455 A106456 A106457 this_sequence A106459 A106460 A106461
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KEYWORD
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nonn,frac
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), May 02 2005
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EXTENSIONS
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Typo in one term corrected by Paul Curtz (bpcrtz(AT)free.fr), Jul 16 2008
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