A038144 -id:A038144 - cp's OEIS frontend

A070764 Number of polyiamonds with n cells, with holes.

0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 25, 108, 450, 1713, 6267, 21988, 75185, 251590, 828408, 2692630, 8661287, 27624040, 87479663, 275392248, 862593661, 2690285608, 8359581585, 25893044920, 79978118632, 246433568617

Offset: 1

Joseph Myers, May 05 2002

Craig Knecht, Enneiamond with a hole - positions in a triangle.
Craig Knecht, Hexagon tiling.
Craig Knecht, Most equal distribution using the polyiamonds with holes.
Craig Knecht, Newton's Cradle.
Craig Knecht, Polyiamond 12-gon.
Craig Knecht, Tilings with fixed triangles in a frame.

Equals A000577 - A070765. Cf. A001419, A038144.

More terms from Joseph Myers, Nov 11 2003

a(29)-a(30) from Joseph Myers, Nov 21 2010

A070768 Number of polyhexes with n cells without holes that do not tile the plane.

Original entry on oeis.org

0, 0, 0, 0, 0, 4, 37, 381, 2717, 18760, 116439, 565943, 3033697, 14835067, 72633658, 356923880, 1746833634, 8532601529, 41868336466, 205618704167, 1012359995953

Offset: 1

Joseph Myers, May 05 2002

M. Gardner, Tiling with Polyominoes, Polyiamonds and Polyhexes. Chap. 14 in Time Travel and Other Mathematical Bewilderments. New York: W. H. Freeman, pp. 175-187, 1988.

Craig S. Kaplan, Heesch Numbers of Unmarked Polyforms
Craig S. Kaplan, Heesch Numbers of Unmarked Polyforms, arXiv:2105.09438 [cs.CG], 2021. See Table 3 and Table 4.
Joseph Myers, Polyhex tiling

Cf. A018190, A070766, A070767, A038144, A054361, A071334.

More terms from Joseph Myers, Nov 06 2003

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

A038140 Number of planar polyhexes with n cells and a single hole of size at least 2.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 1, 5, 43, 283, 1954, 12363, 76283, 453946, 2641506

Offset: 1

N. J. A. Sloane

Sven J. Cyvin, Jon Brunvoll, Björg N. Cyvin, John L. Bergan, and E. Brendsdal, The simplest coronoids: hollow hexagons, Struct. Chem., 2 (1991), 555-566.
J. V. Knop, W. R. Mueller, K. Szymanski, and N. Trinajstic, Use of small computers for large computations: enumeration of polyhex hydrocarbons, J. Chem. Inf. Comput. Sci., 30 (1990), 159-160.

Cf. A018190, A038141, A323930, A038144.

Name clarified by Andrey Zabolotskiy, Feb 17 2023

A070767 Number of polyhexes with n cells that do not tile the plane.

Original entry on oeis.org

0, 0, 0, 0, 0, 5, 39, 394, 2784, 19164, 118762, 579460, 3110267, 15264387, 75007623, 369928203, 1817475619, 8913862144, 43914857957, 216555328193, 1070588132492

Offset: 1

Joseph Myers, May 05 2002

M. Gardner, Tiling with Polyominoes, Polyiamonds and Polyhexes. Chap. 14 in Time Travel and Other Mathematical Bewilderments. New York: W. H. Freeman, pp. 175-187, 1988.

Joseph Myers, Polyhex tiling

Cf. A000228, A070766, A038144, A070768, A054360.

More terms from Joseph Myers, Nov 06 2003

a(20) and a(21) from Joseph Myers, Nov 21 2010

cp's OEIS Frontend

A070764 Number of polyiamonds with n cells, with holes.

Views

Author

Keywords

Links

Crossrefs

Extensions

A070768 Number of polyhexes with n cells without holes that do not tile the plane.

Views

Author

Keywords

References

Links

Crossrefs

Extensions

A038140 Number of planar polyhexes with n cells and a single hole of size at least 2.

Views

Author

Keywords

Links

Crossrefs

Extensions

A070767 Number of polyhexes with n cells that do not tile the plane.

Views

Author

Keywords

References

Links

Crossrefs

Extensions