A394305 a(n) is the number of unit cubes in the cubic lattice, divided by 12, that have 6 vertices strictly inside and 2 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, 1, 1, 0, 0, 2, 2, 1, 1, 3, 3, 2, 2, 2, 2, 6, 6, 1, 1, 5, 5, 5, 5, 8, 8, 2, 2, 6, 6, 8, 8, 7, 7, 9, 9, 5, 5, 11, 11, 8, 8, 8, 8, 10, 10, 12, 12, 12, 12, 11, 11, 9, 9, 13, 13, 13, 13, 13, 13, 18, 18, 10, 10, 14, 14, 16, 16, 16, 16, 18, 18, 13, 13, 19, 19, 19, 19, 13

Offset

0,8

Links

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

Crossrefs

Cf. A005878, A393826, A394294, A394295, A394296, A394297, A394304, A394306.

Sequence in context: A231201 A348841 A394301 * A295515 A348890 A110659

Adjacent sequences: A394302 A394303 A394304 * A394306 A394307 A394308

Keyword

nonn

Author

Hugo Pfoertner, Mar 15 2026

Status

approved