A345206 Maximum number of unit cubes that can be fully enclosed in n unit cubes.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 20, 20, 22, 22, 24, 24, 27

Offset

8,27

Comments

Cubes are assumed to be aligned in a 3D grid. Cubes with an exposed edge or corner are not considered enclosed.

The Moore neighborhood of a cube in a 3-D grid consists of the 26 that share a face, an edge, or a vertex with it. - N. J. A. Sloane, Jul 12 2021

Links

Table of n, a(n) for n=8..98.

Example

a(26) = 1 as the number of neighbors in Moore's neighborhood is 26 in 3D.

Crossrefs

Cf. A345205. 3D equivalent to A008642.

Sequence in context: A347941 A013941 A061798 * A318585 A029241 A226749

Adjacent sequences: A345203 A345204 A345205 * A345207 A345208 A345209

Keyword

nonn

Author

Abraham Maxfield, Jun 11 2021

Status

approved