A355966 Number of 3-dimensional polyominoes (or polycubes) with n cells that have cavities (inclusions of empty space).

20, 404, 6164, 75917, 835491

Offset

11,1

Comments

Even if two polycubes are mirror images of each other, they are considered different for this sequence.

Polycubes with less than 11 cells can't have cavities.

Largest enclosed volume >= A355880(n-5) for polycubes with n cells.

Links

Table of n, a(n) for n=11..15.

Gleb Ivanov, Python program for n = 11..14

Wikipedia, Polycube

Crossrefs

Cf. A001419, A000162, A038119, A355880.

Cf. A357083 (without distinguished reflections).

Sequence in context: A041762 A196740 A196898 * A068772 A230349 A158601

Adjacent sequences: A355963 A355964 A355965 * A355967 A355968 A355969

Keyword

nonn,more,hard

Author

Gleb Ivanov, Jul 21 2022

Status

approved