A394306 a(n) is the number of unit cubes in the cubic lattice, divided by 24, that have 5 vertices strictly inside and 3 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, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 0, 0, 3, 3, 2, 2, 1, 1, 4, 4, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 5, 5, 2, 2, 7, 7, 4, 4, 4, 4, 3, 3, 4, 4, 7, 7, 4, 4, 5, 5, 7, 7, 6, 6, 3, 3, 6, 6, 8, 8, 3

Offset

0,16

Links

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

Crossrefs

Cf. A005878, A393825, A394294, A394295, A394296, A394297, A394304, A394305.

Sequence in context: A295335 A227838 A050605 * A060571 A131555 A373607

Adjacent sequences: A394303 A394304 A394305 * A394307 A394308 A394309

Keyword

nonn

Author

Hugo Pfoertner, Mar 15 2026

Status

approved