A376798 Least number of inequivalent cells in a polycube with n cells.

1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3

Offset: 1

Author

John Mason, Oct 04 2024

Keywords

• nonn
• more

Comments

a(27) <= 4, a(64) <= 4.

Links

• Pontus von Brömssen, Inequivalent cells in polycubes.

Crossrefs

Cf. A367758, A376797, A376799.

Formula

a(n) <= A367758(n).

From Pontus von Brömssen, Oct 13 2024: (Start)

n/48 < a(n) <= n/48 + c for some constant c. c = 11 + 19/48 works for n >= 78, but that is not best possible. See link "Inequivalent cells in polycubes".

Conjecture: The sequence (a(n)-n/48) is eventually periodic with period 48.

(End)