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A345205
Minimum number of unit cubes needed to fully enclose n unit cubes in 3D space.
2
8, 26, 34, 42, 44, 52, 54, 56, 56, 64, 66, 68, 68, 76, 78, 80, 80, 82, 82, 90, 92, 94, 94, 96, 96, 98, 98, 98
OFFSET
0,1
COMMENTS
Cubes are assumed to be aligned in a 3D grid. Cubes with an exposed edge or corner are not considered enclosed.
EXAMPLE
For a(1) the solution is the number of neighbors in Moore's neighborhood in 3 dimensions (3^3-1 = 26).
For a(2) the solution is the neighbors in Moore's neighborhood in 3 dimensions plus the number of neighbors in 2 dimensions (3^2-1 = 8).
CROSSREFS
Cf. A345206, A235382 (2D equivalent), A007395 (1D equivalent), A024023.
Sequence in context: A029617 A200785 A120743 * A063560 A265104 A328205
KEYWORD
nonn,more
AUTHOR
Abraham Maxfield, Jun 10 2021
STATUS
approved