A377335 Number of polycubes with 8*n cells, full symmetry, and the rotation point of the symmetries at the common corner of 8 cells (that may or may not be part of the polycube).

1, 0, 0, 2, 0, 1, 5, 1, 2, 12, 4, 9, 33, 14, 29, 92, 44, 105, 272, 141, 326, 793, 438, 1069, 2337, 1362, 3313, 6938, 4213, 10636, 20772, 13089, 32842, 62398, 40630, 103676, 187926, 126201, 319378, 567076, 391551, 999680, 1714404, 1214219, 3077337, 5192627

Offset

1,4

Comments

The number of cells of a polycube, that has full symmetry with the rotation point of the symmetries at the common corner of 8 cells, must be a multiple of 8.

Links

Table of n, a(n) for n=1..46.

Index entries for sequences related to polyominoes.

Formula

a(n) = A376971(8*n)-A377334(8*n).

Conjecture: a(n) < a(n-1) if and only if n mod 3 = 2.

Crossrefs

Cf. A346800, A376971, A377334.

Sequence in context: A193471 A351645 A182931 * A260615 A293298 A079134

Adjacent sequences: A377332 A377333 A377334 * A377336 A377337 A377339

Keyword

nonn

Author

Pontus von Brömssen, Oct 25 2024

Status

approved