A342563 List points (x,y,z) having integer coordinates, sorted first by R=x^2+y^2+z^2 and in case of ties, then by z and last by polar angle 0 <= phi < 2*Pi in a polar coordinate system. Sequence gives z-coordinates.

0, -1, 0, 0, 0, 0, 1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -2, 0, 0, 0, 0, 2, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2

Offset: 0

Author

Hugo Pfoertner, Apr 27 2021

Keywords

• sign

Examples

			See A342561.
		

Links

• Hugo Pfoertner, Table of n, a(n) for n = 0..10130

Crossrefs

Cf. A305575, A305576, A342561 (x-coordinates), A342562 (y-coordinates).

Cf. A343630, A343640.

Programs

PARI

A342563_vec=concat([[P[3] | P<-shell(n)] | n<-[0..7]]) \\ See A342561 for shell(). - M. F. Hasler, Apr 27 2021