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.

A126637 Difference x-y of generator pairs (x,y) {x and y coprime and not both odd, x>y} of primitive Pythagorean triangles, sorted on values x+y (A126611), then on x-y.

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%I A126637 #10 Nov 07 2019 23:30:59
%S A126637 1,1,3,1,3,5,1,5,7,1,3,5,7,9,1,3,5,7,9,11,1,7,11,13,1,3,5,7,9,11,13,
%T A126637 15,1,3,5,7,9,11,13,15,17,1,5,11,13,17,19,1,3,5,7,9,11,13,15,17,19,21,
%U A126637 1,3,7,9,11,13,17,19,21,23,1,5,7,11
%N A126637 Difference x-y of generator pairs (x,y) {x and y coprime and not both odd, x>y} of primitive Pythagorean triangles, sorted on values x+y (A126611), then on x-y.
%C A126637 This sequence gives the consecutive rows n = 2*m + 1, for m >= 1, of the array A216319. See the example. - _Wolfdieter Lang_, Oct 24 2019
%e A126637 From _Wolfdieter Lang_, Oct 24 2019: (Start)
%e A126637 From the array A216319 with n = 2*m + 1 = x + y, for m >= 1, the (x, y) values giving the terms of the present sequence as values x-y are:
%e A126637 m, n \ k    1      2      3      4      5      6 ...   x-y values
%e A126637 --------------------------------------------------------------------
%e A126637 1,  3:   (2,1)                                         1
%e A126637 2,  5:   (3,2) (4,1)                                   1 3
%e A126637 3,  7:   (4,3) (5,2)   (6,1)                           1 3  5
%e A126637 4,  9:   (5,4) (7,2)   (8,1)                           1 5  7
%e A126637 5, 11:   (6,5) (7,4)   (8,3)  (9,2) (10,1)             1 3  5  7  9
%e A126637 6, 13:   (7,6) (8,5)   (9,4) (10,3) (11,2) (12,1)      1 3  5  7  9  11
%e A126637 7, 15:   (8,7) (11,4) (13,2) (14,1)                    1 7 11 13
%e A126637 ... (End)
%Y A126637 Cf. A094192, A094193, A126611, A216319.
%K A126637 nonn,easy
%O A126637 1,3
%A A126637 _Lekraj Beedassy_, Feb 08 2007