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

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

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, A075209, A075210, A075211, A075212, A075213, A075214, A075215, A075199, A075217.

Extensions

More terms from Joseph Myers, Nov 08 2003
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

A075209 Number of polyhexes with n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion).

Original entry on oeis.org

1, 1, 3, 6, 12, 36, 59, 208, 373, 1024, 1380, 5966, 6012, 20061, 32939, 91715, 99540, 381899, 390781, 1486746, 1856858
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, A075210, A075211, A075212, A075213, A075214, A075215, A075200, A075218.

Extensions

More terms from Joseph Myers, Nov 08 2003
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

A075210 Number of polyhexes 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, 1, 9, 39, 197, 721, 2717, 8211, 19836, 74497, 132611, 403534, 1127416, 2364402, 4173316, 15604400, 21318428, 73965916, 154211880
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, A075211, A075212, A075213, A075214, A075215, A075201, A075219.

Extensions

More terms from Joseph Myers, Nov 08 2003
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

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

A075212 Number of polyhexes with n cells that tile the plane by translation or by 180-degree rotation (Conway criterion).

Original entry on oeis.org

1, 1, 3, 7, 21, 75, 257, 930, 3104, 9265, 21304, 81392, 139612, 427454, 1176912, 2491134, 4319362, 16243200, 21965930, 76738851, 158374741
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, A075211, A075213, A075214, A075215, A075203, A075221.

Extensions

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

A075213 Number of polyhexes 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, 1, 1, 33, 88, 611, 1803, 2985, 21250, 23564, 100221, 392655, 438188, 433150, 4762862, 2327445, 18839643, 46717154
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. A070766, A075207, A075208, A075209, A075210, A075211, A075212, A075214, A075215, A075204, A075222.

Extensions

More terms from Joseph Myers, Nov 08 2003
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

A075214 Number of polyhexes with n cells that tile the plane isohedrally.

Original entry on oeis.org

1, 1, 3, 7, 22, 76, 290, 1018, 3715, 11068, 24289, 102642, 163176, 527675, 1569567, 2929322, 4752512, 21006062, 24293375, 95578494, 205091895
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. A070766, A075207, A075208, A075209, A075210, A075211, A075212, A075213, A075215, A075205, A075223.

Extensions

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

A075215 Number of anisohedral polyhexes with n cells.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 4, 36, 73, 258, 501, 999, 1383, 4835, 4685, 10576, 8497, 42156, 12931, 129325, 84555
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. A070766, A075207, A075208, A075209, A075210, A075211, A075212, A075213, A075214, A075206, A075224.

Extensions

More terms from Joseph Myers, Nov 08 2003
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

A075216 Number of polyiamonds with 2n cells that tile the plane by translation.

Original entry on oeis.org

1, 2, 8, 24, 62, 291, 539, 2625, 6177, 21923, 37721, 238267, 299203, 1338140, 3492733
Offset: 1

Views

Author

Joseph Myers, Sep 08 2002

Keywords

Comments

Polyiamonds with an odd number of cells have different numbers of triangles with the two orientations and so cannot tile by translation.

References

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

Links

Crossrefs

Cf. A071332, A075217, A075218, A075219, A075220, A075221, A075222, A075223, A075224, A075198, A075207.

Extensions

More terms from Joseph Myers, Nov 11 2003
a(15) (30-iamonds) from Joseph Myers, Nov 21 2010
Showing 1-10 of 10 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.