A292157 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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