%I #10 Sep 03 2017 21:59:30

%S 1,2,35,6563

%N Number of tilings of n X n square using differently sized polyominoes.

%C 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.

%H John Mason, <a href="/A291809/a291809_1.pdf">Tiling examples</a>

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

%K nonn,more

%O 1,2

%A _John Mason_, Sep 01 2017