cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A113137 The rational numbers can be ordered by height and then by magnitude (see A002246, A097080); sequence gives denominators.

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%I A113137 #14 Mar 21 2020 04:06:35
%S A113137 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 A113137 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 A113137 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 A113137 The rational numbers can be ordered by height and then by magnitude (see A002246, A097080); sequence gives denominators.
%D A113137 M. N. Huxley, Area, Lattice Points and Exponential Sums, Oxford, 1996; p. 7.
%H A113137 <a href="/index/Ra#rational">Index entries for sequences related to enumerating the rationals</a>
%e A113137 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 A113137 -1 0 1
%e A113137 -2 -1/2 1/2 2
%e A113137 -3 -3/2 -2/3 -1/3 1/3 2/3 3/2 3
%e A113137 -4 -4/3 -3/4 -1/4 1/4 3/4 4/3 4
%e A113137 ...
%Y A113137 Cf. A113136, A002246, A097080.
%K A113137 nonn,easy,tabf
%O A113137 1,5
%A A113137 _N. J. A. Sloane_, Nov 02 2008
%E A113137 More terms from _John W. Layman_, Nov 06 2008