A291809 Number of tilings of n X n square using differently sized polyominoes.

1, 2, 35, 6563, 6423024

Offset

1,2

Comments

The sequence gives the number of distinct tilings by polyominoes of a square with side n, considering tilings that are formed by polyominoes of all different sizes. As for "free" polyominoes, tilings that are reflections or rotations of each other are not considered distinct.

Links

Table of n, a(n) for n=1..5.

John Mason, Tiling examples

Crossrefs

Cf. A268416 (polyominoes that will fit in n-sided square), A291806 (polyomino tilings of square), A291807 (symmetric tilings), A291808 (tilings with distinct polyominoes).

Sequence in context: A132100 A327129 A386445 * A182070 A325630 A292702

Adjacent sequences: A291806 A291807 A291808 * A291810 A291811 A291812

Keyword

nonn,more

Author

John Mason, Sep 01 2017

Extensions

a(5) from Christian Sievers, Feb 01 2026

Status

approved