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A113137
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The rational numbers can be ordered by height and then by magnitude (see A002246, A097080); sequence gives denominators.
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2
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1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 3, 1, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 1, 5, 6, 6, 6, 6, 5, 1, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 1, 3, 5, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 3, 1, 1, 2, 4, 5, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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REFERENCES
| M. N. Huxley, Area, Lattice Points and Exponential Sums, Oxford, 1996; p. 7.
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EXAMPLE
| The rationals with this ordering, with those of height k in row k (there are 4*A000010(k) rationals of height k, for k>1):
-1 0 1
-2 -1/2 1/2 2
-3 -3/2 -2/3 -1/3 1/3 2/3 3/2 3
-4 -4/3 -3/4 -1/4 1/4 3/4 4/3 4
...
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CROSSREFS
| Cf. A113136, A002246, A097080.
Sequence in context: A156282 A203776 A120423 * A199204 A075402 A088855
Adjacent sequences: A113134 A113135 A113136 * A113138 A113139 A113140
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KEYWORD
| nonn,easy,tabf
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 02 2008
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EXTENSIONS
| More terms from John W. Layman (layman(AT)math.vt.edu), Nov 06 2008
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