A292065 - OEIS

%I #14 Apr 26 2023 07:02:05

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

%N 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.

%C 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.

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

%H G. L. Sicherman, <a href="https://sicherman.net/beszel/beszel.html">Catalogue of Besźel Polycubes</a>

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

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

%K nonn,more,hard

%O 1,3

%A _George Sicherman_, Sep 08 2017