cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 10 results.

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

Views

Author

Joseph Myers, Sep 08 2002

Keywords

Examples

			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.

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A054359, A075199, A075200, A075201, A075202, A075203, A075204, A075205, A075206, A075207, A075216.

Extensions

More terms from Joseph Myers, Nov 04 2003
a(24) and a(25) from Joseph Myers, Nov 17 2010

A075199 Number of polyominoes 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, 0, 0, 1, 2, 10, 135, 142, 591, 2667, 5291, 6863, 35876, 34819, 161812, 272329, 454465, 651720, 3441853, 3442733
Offset: 1

Views

Author

Joseph Myers, Sep 08 2002

Keywords

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A054359, A075198, A075200, A075201, A075202, A075203, A075204, A075205, A075206, A075208, A075217.

Extensions

More terms from Joseph Myers, Nov 04 2003
a(24) and a(25) from Joseph Myers, Nov 17 2010

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

Views

Author

Joseph Myers, Sep 08 2002

Keywords

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A054359, A075198, A075199, A075201, A075202, A075203, A075204, A075205, A075206, A075209, A075218.

Extensions

More terms from Joseph Myers, Nov 04 2003
a(24) and a(25) from Joseph Myers, Nov 17 2010

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

Views

Author

Joseph Myers, Sep 08 2002

Keywords

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A054359, A075198, A075199, A075200, A075202, A075203, A075204, A075205, A075206, A075210, A075219.

Extensions

More terms from Joseph Myers, Nov 04 2003
a(24) and a(25) from Joseph Myers, Nov 17 2010

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

Views

Author

Joseph Myers, Sep 08 2002

Keywords

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A054359, A075198, A075199, A075200, A075201, A075202, A075204, A075205, A075206, A075212, A075221.

Extensions

More terms from Joseph Myers, Nov 04 2003
a(24) and a(25) from Joseph Myers, Nov 17 2010

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

Views

Author

Joseph Myers, Sep 08 2002

Keywords

Comments

A tiling is isohedral if the symmetries of the tiling act transitively on the tiles; a shape is anisohedral if it tiles the plane, but not isohedrally.

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A054359, A075198, A075199, A075200, A075201, A075202, A075203, A075205, A075206, A075213, A075222.

Extensions

More terms from Joseph Myers, Nov 04 2003
a(24) and a(25) from Joseph Myers, Nov 17 2010

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

Views

Author

Joseph Myers, Sep 08 2002

Keywords

Comments

A tiling is isohedral if the symmetries of the tiling act transitively on the tiles; a shape is anisohedral if it tiles the plane, but not isohedrally.

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A054359, A075198, A075199, A075200, A075201, A075202, A075203, A075204, A075206, A075214, A075223.

Extensions

More terms from Joseph Myers, Nov 04 2003
a(24) and a(25) from Joseph Myers, Nov 17 2010

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

Views

Author

Joseph Myers, Sep 08 2002

Keywords

Comments

A tiling is isohedral if the symmetries of the tiling act transitively on the tiles; a shape is anisohedral if it tiles the plane, but not isohedrally.

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A054359, A075198, A075199, A075200, A075201, A075202, A075203, A075204, A075205, A075215, A075224.

Extensions

More terms from Joseph Myers, Nov 04 2003
a(24) and a(25) from Joseph Myers, Nov 17 2010

A075211 Number of polyhexes with n cells that tile the plane by 180-degree rotation (Conway criterion).

Original entry on oeis.org

1, 1, 3, 7, 21, 75, 256, 929, 3090, 9235, 21216, 80463, 138623, 423595, 1160355, 2456117, 4272856, 15986299, 21709209, 75452662, 156068738
Offset: 1

Views

Author

Joseph Myers, Sep 08 2002

Keywords

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A070766, A075207, A075208, A075209, A075210, A075212, A075213, A075214, A075215, A075202, A075220.

Extensions

More terms from Joseph Myers, Nov 08 2003
a(20) and a(21) from Joseph Myers, Nov 21 2010

A075220 Number of polyiamonds with n cells that tile the plane by 180-degree rotation (Conway criterion).

Original entry on oeis.org

1, 1, 1, 3, 4, 12, 21, 56, 111, 261, 462, 1431, 1875, 4696, 9410, 20099, 24034, 77884, 79925, 266786, 358096, 658594, 796571, 3227163, 2980476, 6268017, 10167660, 24321735, 21477012, 85964698
Offset: 1

Views

Author

Joseph Myers, Sep 08 2002

Keywords

References

  • Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

Crossrefs

Cf. A071332, A075216, A075217, A075218, A075219, A075221, A075222, A075223, A075224, A075202, A075211.

Extensions

More terms from Joseph Myers, Nov 11 2003
a(29) and a(30) from Joseph Myers, Nov 21 2010
Showing 1-10 of 10 results.

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