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A283304 List points (x,y) having integer coordinates with x >= y >= 0, sorted first by x^2+y^2 and in case of a tie, by x-coordinate. Sequence gives y-coordinates. 6
0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 3, 2, 3, 0, 1, 2, 4, 3, 0, 1, 2, 4, 3, 0, 5, 1, 4, 2, 3, 5, 0, 4, 1, 2, 6, 3, 5, 4, 0, 1, 6, 2, 5, 3, 4, 7, 6, 0, 1, 2, 5, 3, 7, 4, 6, 0, 1, 5, 2, 8, 7, 3, 6, 4, 0, 8, 1, 5, 2, 7, 3, 6, 4, 9, 8, 5, 0, 7, 1, 2, 3, 6, 9, 8, 4, 7, 5, 0, 1, 10, 2, 9, 6, 3, 8, 4, 7, 10, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Hugo Pfoertner, Table of n, a(n) for n = 1..10000

EXAMPLE

The first few points (listing [x^2+y^2,x,y]) are:

[0, 0, 0], [1, 1, 0], [2, 1, 1], [4, 2, 0], [5, 2, 1], [8, 2, 2], [9, 3, 0], [10, 3, 1], [13, 3, 2], [16, 4, 0], [17, 4, 1], [18, 3, 3], [20, 4, 2], [25, 4, 3], [25, 5, 0], [26, 5, 1], [29, 5, 2], [32, 4, 4], [34, 5, 3], [36, 6, 0], [37, 6, 1], [40, 6, 2], [41, 5, 4], [45, 6, 3], [49, 7, 0], ...

MAPLE

L:=[];

M:=30;

for i from 0 to M do

for j from 0 to i do

L:=[op(L), [i^2+j^2, i, j]]; od: od:

t3:= sort(L, proc(a, b) evalb(a[1]<=b[1]); end);

t3x:=[seq(t3[i][2], i=1..100)]; # A283303

t3y:=[seq(t3[i][3], i=1..100)]; # A283304

CROSSREFS

For the x coordinates see A283303.

See also A283305-A283308.

Sequence in context: A270655 A229140 A280317 * A058685 A029300 A096397

Adjacent sequences:  A283301 A283302 A283303 * A283305 A283306 A283307

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 04 2017, following a suggestion from Ahmet Arduç.

STATUS

approved

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Last modified May 13 08:08 EDT 2021. Contains 343836 sequences. (Running on oeis4.)