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

1,3

Comments

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

Links

Table of n, a(n) for n=1..13.

Pontus von Brömssen, Inequivalent cells in polycubes.

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)

Crossrefs

Cf. A367758, A376797, A376799.

Sequence in context: A336041 A176725 A085029 * A388722 A185318 A008622

Adjacent sequences: A376795 A376796 A376797 * A376799 A376800 A376801

Keyword

nonn,more

Author

John Mason, Oct 04 2024

Status

approved