A359661 a(n) is the number of free convex polyominoes of n cells.

1, 1, 2, 5, 11, 29, 72, 191, 478, 1211, 2973, 7274, 17455, 41645, 98271, 230848, 539000, 1254936

Offset: 1

Author

John Mason, Jan 10 2023

Keywords

• nonn
• more

Comments

A convex polyomino is such that any vertical or horizontal line connecting two points within the polyomino remains completely within the polyomino.

It has a perimeter of length equal to that of its enclosing rectangle.

A polyomino is convex if and only if (i) it is a board-pile polyomino and (ii) rotated 90 degrees it is still a board-pile-polyomino.

Crossrefs

Cf. A000105, A001169, A067675.