A345205 Minimum number of unit cubes needed to fully enclose n unit cubes in 3D space.

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.

Links

Table of n, a(n) for n=0..27.

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

Adjacent sequences: A345202 A345203 A345204 * A345206 A345207 A345208

Keyword

nonn,more

Author

Abraham Maxfield, Jun 10 2021

Status

approved