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

Author

George Sicherman, Sep 09 2017

Keywords

• nonn
• more
• hard

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.

Examples

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

References

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

Links

• G. L. Sicherman, Catalogue of Besźel Polycubes

Crossrefs

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

Extensions

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