A394296 a(n) is the number of unit cubes in the cubic lattice, divided by 24, that have 3 vertices strictly inside and 5 vertices strictly outside the sphere (x-1/2)^2 + (y-1/2)^2 + (z-1/2)^2 = n, i.e., the sphere centered at the deep hole.

0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 4, 4, 1, 1, 2, 2, 3, 3, 2, 2, 4, 4, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 8, 8, 5, 5, 5, 5, 4, 4, 4, 4, 8, 8, 5, 5, 6, 6, 8, 8, 6, 6, 3, 3, 8, 8, 10, 10, 5, 5

Offset

0,14

Links

Hugo Pfoertner, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A005878, A393823, A394294, A394295, A394297, A394304, A394305, A394306.

Sequence in context: A037867 A122879 A037866 * A333181 A306216 A238451

Adjacent sequences: A394293 A394294 A394295 * A394297 A394298 A394299

Keyword

nonn

Author

Hugo Pfoertner, Mar 15 2026

Status

approved