A292157 Number of Besźel [Beszel] Polycubes with n cells, identifying mirror images. A Besźel Polycube is a polycube whose cells each have two or more even coordinates.

1, 1, 2, 4, 11, 23, 80, 230, 837, 2935, 11251, 43364, 173205, 699160, 2868527, 11872515, 49583430, 208407805, 881085265

Offset

1,3

Comments

This sequence also gives the number of Ul Qoma Polycubes with n cells. An Ul Qoma Polycube is a polycube whose cells each have two or more odd coordinates.

References

China Miéville, The City & the City, Macmillan, 2009.

Links

Table of n, a(n) for n=1..19.

G. L. Sicherman, Catalogue of Besźel Polycubes

Example

a(4) = 4 because 4 of the 8 tetracubes (I, L, T, K) can be embedded in the Besźel section of the cubic grid.

Crossrefs

Cf. A292065: Number of Besźel Polycubes with n cells, distinguishing mirror images; A038119: Number of polycubes with n cells, identifying mirror images.

Sequence in context: A104430 A298255 A298926 * A256801 A103669 A230711

Adjacent sequences: A292154 A292155 A292156 * A292158 A292159 A292160

Keyword

nonn,more,hard

Author

George Sicherman, Sep 09 2017

Extensions

a(11) - a(19) from Joerg Arndt, Dec 12 2023

Status

approved