A292065 - OEIS

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A292065

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

1, 1, 2, 4, 12, 27, 106, 339, 1336, 5029

(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..10.

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. A292157: Number of Besźel Polycubes with n cells, identifying mirror images; A000162: Number of polycubes with n cells [distinguishing mirror images].

Sequence in context: A148173 A148174 A232218 * A193893 A096581 A275434

Adjacent sequences: A292062 A292063 A292064 * A292066 A292067 A292068

KEYWORD

nonn,more,hard

AUTHOR

George Sicherman, Sep 08 2017

STATUS

approved