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 A113137 The rational numbers can be ordered by height and then by magnitude (see A002246, A097080); sequence gives denominators. 2
 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; text; internal format)
 OFFSET 1,5 REFERENCES M. N. Huxley, Area, Lattice Points and Exponential Sums, Oxford, 1996; p. 7. LINKS 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 ... CROSSREFS Cf. A113136, A002246, A097080. Sequence in context: A203776 A242357 A120423 * A220603 A238404 A331910 Adjacent sequences:  A113134 A113135 A113136 * A113138 A113139 A113140 KEYWORD nonn,easy,tabf AUTHOR N. J. A. Sloane, Nov 02 2008 EXTENSIONS More terms from John W. Layman, Nov 06 2008 STATUS approved

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Last modified December 2 01:23 EST 2020. Contains 338864 sequences. (Running on oeis4.)