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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
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
KEYWORD
nonn
AUTHOR
Abraham Maxfield, Jun 11 2021
STATUS
approved

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Last modified May 29 11:28 EDT 2024. Contains 372940 sequences. (Running on oeis4.)