A197467 Number of fixed poly-[4.8^2]-tiles (holes allowed) with n cells (division into triangles is significant).

4, 6, 12, 25, 56, 132, 320, 792, 1976, 4962, 12576, 32140, 82704, 214044, 556576, 1453210, 3808592, 10015134, 26413468, 69844263, 185126524

Offset

1,1

References

Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Sections 2.7, 6.2 and 9.4.

Links

Table of n, a(n) for n=1..21.

Gill Barequet and Minati De, A Lower Bound on the Growth Constant of Polyaboloes on the Tetrakis Lattice, International Computing and Combinatorics Conference (COCOON 2019): Computing and Combinatorics, 13-24.

Crossrefs

Cf. A197465, A197466.

Sequence in context: A037100 A095969 A090608 * A256350 A215177 A294489

Adjacent sequences: A197464 A197465 A197466 * A197468 A197469 A197470

Keyword

hard,nonn

Author

Joseph Myers, Oct 15 2011

Extensions

a(21) from Johann Peters, Oct 31 2024

Status

approved