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A345206 Maximum number of unit cubes that can be fully enclosed in n unit cubes. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 17 23:13 EDT 2022. Contains 356204 sequences. (Running on oeis4.)