A394295 a(n) is the number of unit cubes in the cubic lattice, divided by 12, that have 2 vertices strictly inside and 6 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, 1, 1, 2, 2, 1, 1, 5, 5, 2, 2, 6, 6, 3, 3, 5, 5, 9, 9, 4, 4, 8, 8, 8, 8, 11, 11, 5, 5, 9, 9, 13, 13, 10, 10, 12, 12, 10, 10, 16, 16, 11, 11, 11, 11, 15, 15, 17, 17, 17, 17, 14, 14, 14, 14, 18, 18, 18, 18, 18, 18, 23, 23, 15, 15, 19, 19, 21, 21, 21, 21, 25, 25, 18, 18, 24

Offset

0,4

Links

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

Crossrefs

Cf. A005878, A393822, A394294, A394296, A394297, A394304, A394305, A394306.

Sequence in context: A178304 A123585 A145668 * A318405 A181645 A129104

Adjacent sequences: A394292 A394293 A394294 * A394296 A394297 A394298

Keyword

nonn

Author

Hugo Pfoertner, Mar 15 2026

Status

approved