|
%I #14 Mar 21 2020 04:06:35
%S 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,
%T 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,
%U 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
%N The rational numbers can be ordered by height and then by magnitude (see A002246, A097080); sequence gives denominators.
%D M. N. Huxley, Area, Lattice Points and Exponential Sums, Oxford, 1996; p. 7.
%H <a href="/index/Ra#rational">Index entries for sequences related to enumerating the rationals</a>
%e 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):
%e -1 0 1
%e -2 -1/2 1/2 2
%e -3 -3/2 -2/3 -1/3 1/3 2/3 3/2 3
%e -4 -4/3 -3/4 -1/4 1/4 3/4 4/3 4
%e ...
%Y Cf. A113136, A002246, A097080.
%K nonn,easy,tabf
%O 1,5
%A _N. J. A. Sloane_, Nov 02 2008
%E More terms from _John W. Layman_, Nov 06 2008
|
