A054361 Number of polyominoes with n cells without holes that do not tile the plane.

0, 0, 0, 0, 0, 0, 3, 20, 198, 1390, 9474, 35488, 178448, 696371, 2721544, 10683110, 41334494, 155723774, 596182769, 2257379379, 8587521496, 32688629235, 124568505590, 475147925759, 1815832051949

Offset

1,7

References

Posting by Glenn C. Rhoads (rhoads(AT)paul.rutgers.edu) to rec.puzzles, Feb 17 2000.

Links

Table of n, a(n) for n=1..25.

Craig S. Kaplan, Heesch Numbers of Unmarked Polyforms

Craig S. Kaplan, Heesch Numbers of Unmarked Polyforms, arXiv:2105.09438 [cs.CG], 2021. See Table 1 and Table 2.

Joseph Myers, Polyomino tiling

Example

a(7) = 3.

Crossrefs

Cf. A000104, A054360, A070768, A071334.

Sequence in context: A087152 A158833 A296715 * A052595 A367924 A363136

Adjacent sequences: A054358 A054359 A054360 * A054362 A054363 A054364

Keyword

nonn,hard,more

Author

Joe Keane (jgk(AT)jgk.org)

Extensions

Corrected and extended by Joseph Myers, May 05 2002

More terms from Joseph Myers, Nov 04 2003

a(24) and a(25) from Joseph Myers, Nov 17 2010

Status

approved