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.

A113136 The rational numbers can be ordered by height and then by magnitude (see A002246, A097080); sequence gives numerators.

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%I A113136 #15 Mar 21 2020 04:06:26
%S A113136 -1,0,1,-2,-1,1,2,-3,-3,-2,-1,1,2,3,3,-4,-4,-3,-1,1,3,4,4,-5,-5,-5,-5,
%T A113136 -4,-3,-2,-1,1,2,3,4,5,5,5,5,-6,-6,-5,-1,1,5,6,6,-7,-7,-7,-7,-7,-7,-6,
%U A113136 -5,-4,-3,-2,-1,1,2,3,4,5,6,7,7,7,7,7,7,-8,-8,-8,-8,-7,-5,-3,-1,1,3,5,7
%N A113136 The rational numbers can be ordered by height and then by magnitude (see A002246, A097080); sequence gives numerators.
%D A113136 M. N. Huxley, Area, Lattice Points and Exponential Sums, Oxford, 1996; p. 7.
%H A113136 <a href="/index/Ra#rational">Index entries for sequences related to enumerating the rationals</a>
%e A113136 The rationals with this ordering, with those of height k in row k (there are three of height 1, and 4*A000010(k) rationals of height k, for k>1):
%e A113136 -1 0 1
%e A113136 -2 -1/2 1/2 2
%e A113136 -3 -3/2 -2/3 -1/3 1/3 2/3 3/2 3
%e A113136 -4 -4/3 -3/4 -1/4 1/4 3/4 4/3 4
%e A113136 ...
%Y A113136 Cf. A113137, A002246, A097080.
%K A113136 sign,easy,tabf
%O A113136 1,4
%A A113136 _N. J. A. Sloane_, Nov 02 2008
%E A113136 More terms from _John W. Layman_, Nov 06 2008