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A283306 List points (x,y) having integer coordinates with x >= 0, y >= 0, sorted first by x^2+y^2 and in case of a tie, by x-coordinate. Sequence gives y-coordinates. 5
0, 1, 0, 1, 2, 0, 2, 1, 2, 3, 0, 3, 1, 3, 2, 4, 0, 4, 1, 3, 4, 2, 5, 4, 3, 0, 5, 1, 5, 2, 4, 5, 3, 6, 0, 6, 1, 6, 2, 5, 4, 6, 3, 7, 0, 7, 5, 1, 6, 4, 7, 2, 7, 3, 6, 5, 8, 0, 8, 7, 4, 1, 8, 2, 6, 8, 3, 7, 5, 8, 4, 9, 0, 9, 1, 9, 7, 6, 2, 8, 5, 9, 3, 9, 4, 7, 10, 8, 6, 0, 10, 1, 10, 2, 9, 5, 10, 3, 8, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

The first few points (listing [x^2+y^2,x,y]) are: [0, 0, 0], [1, 0, 1], [1, 1, 0], [2, 1, 1], [4, 0, 2], [4, 2, 0], [5, 1, 2], [5, 2, 1], [8, 2, 2], [9, 0, 3], [9, 3, 0], [10, 1, 3], [10, 3, 1], [13, 2, 3], [13, 3, 2], [16, 0, 4], [16, 4, 0], [17, 1, 4], [17, 4, 1], [18, 3, 3], [20, 2, 4], [20, 4, 2], [25, 0, 5], [25, 3, 4], [25, 4, 3], ...

MAPLE

L:=[];

M:=30;

for i from 0 to M do

for j from 0 to M do

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

t4:= sort(L, proc(a, b) evalb(a[1]<=b[1]); end);

t4x:=[seq(t4[i][2], i=1..100)]; # A283305

t4y:=[seq(t4[i][3], i=1..100)]; # A283306

PROG

(PARI) for(r2=0, 113, for(x=0, round(sqrt(r2)), y2=r2-x^2; if(issquare(y2), print1(round(sqrt(y2)), ", ")))) \\ Hugo Pfoertner, Jun 18 2018

CROSSREFS

For the x coordinates see A283305.

See also A283303, A283304.

Sequence in context: A162350 A334305 A125922 * A182893 A206298 A076608

Adjacent sequences:  A283303 A283304 A283305 * A283307 A283308 A283309

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 11 10:30 EDT 2021. Contains 343788 sequences. (Running on oeis4.)