A075198
Number of polyominoes with n cells that tile the plane by translation.
Original entry on oeis.org
1, 1, 2, 5, 9, 24, 41, 121, 213, 522, 783, 2712, 3179, 8672, 16621, 37415, 48558, 154660, 185007, 573296, 876633, 1759730, 2606543, 8768743, 10774339
Offset: 1
For n = 5, all 12 of the free pentominoes tile the plane by translation except for the R, T, and U pentominoes, so a(5) = 12 - 3 = 9.
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A054359,
A075199,
A075200,
A075201,
A075202,
A075203,
A075204,
A075205,
A075206,
A075207,
A075216.
A075200
Number of polyominoes with n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion).
Original entry on oeis.org
1, 1, 2, 5, 9, 24, 41, 121, 212, 520, 773, 2577, 3037, 8081, 13954, 32124, 41695, 118784, 150188, 411484, 604304, 1305265, 1954823, 5326890, 7331606
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A054359,
A075198,
A075199,
A075201,
A075202,
A075203,
A075204,
A075205,
A075206,
A075209,
A075218.
A075201
Number of polyominoes with n cells that tile the plane by 180-degree rotation (Conway criterion) but not by translation.
Original entry on oeis.org
0, 0, 0, 0, 3, 11, 60, 199, 748, 2181, 5391, 17193, 31881, 85942, 218760, 430339, 728315, 2344106, 3096983, 9344528, 17859116, 31658109, 49644736, 172596719, 228795554
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A054359,
A075198,
A075199,
A075200,
A075202,
A075203,
A075204,
A075205,
A075206,
A075210,
A075219.
A075202
Number of polyominoes with n cells that tile the plane by 180-degree rotation (Conway criterion).
Original entry on oeis.org
1, 1, 2, 5, 12, 35, 101, 320, 960, 2701, 6164, 19770, 34918, 94023, 232714, 462463, 770010, 2462890, 3247171, 9756012, 18463420, 32963374, 51599559, 177923609, 236127160
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A054359,
A075198,
A075199,
A075200,
A075201,
A075203,
A075204,
A075205,
A075206,
A075211,
A075220.
A075203
Number of polyominoes with n cells that tile the plane by translation or by 180-degree rotation (Conway criterion).
Original entry on oeis.org
1, 1, 2, 5, 12, 35, 101, 320, 961, 2703, 6174, 19905, 35060, 94614, 235381, 467754, 776873, 2498766, 3281990, 9917824, 18735749, 33417839, 52251279, 181365462, 239569893
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A054359,
A075198,
A075199,
A075200,
A075201,
A075202,
A075204,
A075205,
A075206,
A075212,
A075221.
A075204
Number of polyominoes with n cells that tile the plane isohedrally but not by translation or by 180-degree rotation (Conway criterion).
Original entry on oeis.org
0, 0, 0, 0, 0, 0, 3, 22, 80, 323, 338, 3322, 3178, 13590, 43045, 76881, 48781, 551137, 93592, 2190553, 3163376, 3542450, 1065943, 39341178, 31694933
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A054359,
A075198,
A075199,
A075200,
A075201,
A075202,
A075203,
A075205,
A075206,
A075213,
A075222.
A075205
Number of polyominoes with n cells that tile the plane isohedrally.
Original entry on oeis.org
1, 1, 2, 5, 12, 35, 104, 342, 1041, 3026, 6512, 23227, 38238, 108204, 278426, 544635, 825654, 3049903, 3375582, 12108377, 21899125, 36960289, 53317222, 220706640, 271264826
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A054359,
A075198,
A075199,
A075200,
A075201,
A075202,
A075203,
A075204,
A075206,
A075214,
A075223.
A075206
Number of anisohedral polyominoes with n cells.
Original entry on oeis.org
0, 0, 0, 0, 0, 0, 0, 1, 9, 44, 108, 222, 431, 900, 1157, 2258, 1381, 7429, 5542, 18306, 22067, 47849, 10542, 202169, 28977
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A054359,
A075198,
A075199,
A075200,
A075201,
A075202,
A075203,
A075204,
A075205,
A075215,
A075224.
A075208
Number of polyhexes with n cells that tile the plane by translation but not by 180-degree rotation (Conway criterion).
Original entry on oeis.org
0, 0, 0, 0, 0, 0, 1, 1, 14, 30, 88, 929, 989, 3859, 16557, 35017, 46506, 256901, 256721, 1286189, 2306003
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A070766,
A075207,
A075209,
A075210,
A075211,
A075212,
A075213,
A075214,
A075215,
A075199,
A075217.
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007
A075217
Number of polyiamonds with 2n cells that tile the plane by translation but not by 180-degree rotation (Conway criterion).
Original entry on oeis.org
0, 0, 0, 0, 1, 22, 38, 504, 1468, 6945, 11046, 115186, 119496, 677774, 2013619
Offset: 1
- Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.
Cf.
A071332,
A075216,
A075218,
A075219,
A075220,
A075221,
A075222,
A075223,
A075224,
A075199,
A075208.
Showing 1-10 of 10 results.
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