A293261 Number of fixed polyominoes without holes that have a width and height of n.

1, 5, 106, 6074, 943340, 419355340, 554485727288, 2208574156731474, 26609978139626497670, 973224195603423767343946, 108342096917091380628767818812, 36763211016528549310068224122368860, 38044287043749436284594644308861499605492

Offset

1,2

Comments

Equivalently, the number of cycles on an (n+1) X (n+1) grid that touch each of the four outside edges.

Links

Andrey Zabolotskiy, Table of n, a(n) for n = 1..16

Anthony J. Guttmann and Iwan Jensen, Effect of Confinement: Polygons in Strips, Slabs and Rectangles, in: Polygons, Polyominoes and Polycubes, LNP 775, Springer, 2009. See Table 10.2 on p. 239.

Crossrefs

Main diagonal of A232103.

Cf. A268404.

Sequence in context: A059490 A204109 A093979 * A324230 A142479 A204110

Adjacent sequences: A293258 A293259 A293260 * A293262 A293263 A293264

Keyword

nonn

Author

Andrew Howroyd, Oct 04 2017

Status

approved