A393023 List points (x,y,z) having integer coordinates, sorted first by L = |x| + |y| + |z| 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, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, -3, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, -4, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0

Offset

0,8

Comments

See A393021 for more information.

Links

Hugo Pfoertner, Table of n, a(n) for n = 0..11520

Crossrefs

Cf. A393021 (x-coordinates), A393022 (y-coordinates).

Sequence in context: A331734 A105794 A345008 * A316866 A277007 A160380

Adjacent sequences: A393020 A393021 A393022 * A393024 A393025 A393026

Keyword

sign

Author

Hugo Pfoertner, Jan 31 2026

Status

approved