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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.
4

%I #8 Jan 31 2026 10:17:34

%S 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,

%T -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,

%U 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

%N 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.

%C See A393021 for more information.

%H Hugo Pfoertner, <a href="/A393023/b393023.txt">Table of n, a(n) for n = 0..11520</a>

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

%K sign

%O 0,8

%A _Hugo Pfoertner_, Jan 31 2026