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.
Original entry on oeis.org
1, 1, 2, 4, 12, 27, 106, 339, 1336, 5029
Offset: 1
a(4) = 4 because 4 of the 8 tetracubes (I, L, T, K) can be embedded in the Besźel section of the cubic grid.
- China Miéville, The City & the City, Macmillan, 2009.
Cf.
A292157: Number of Besźel Polycubes with n cells, identifying mirror images;
A000162: Number of polycubes with n cells [distinguishing mirror images].
A294151
Number of perforated polyominoes with n cells, identifying mirror images.
Original entry on oeis.org
1, 1, 2, 3, 8, 13, 36, 76, 202, 482, 1281, 3277, 8749, 23083, 62056, 166498, 450576, 1220542, 3321870, 9057388, 24769906
Offset: 1
a(4)=3 because there are 5 tetrominoes, and the skew and square tetrominoes do not lie in the perforated grid, which leaves 3.
Cf.
A000105, number of polyominoes with n cells;
A292065, number of Besźel Polycubes with n cells, distinguishing mirror images;
A292157, same but identifying mirror images.
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