OFFSET
1,1
COMMENTS
Tilings that are rotations or reflections of each other are considered distinct.
EXAMPLE
The following table shows the sets of pieces that give the maximum number of tilings for n <= 11. All these sets are unique.
\ Number of pieces of size
n \ 1 X 1 | 1 X 2 | 1 X 3 | 1 X 4
----+-------+-------+-------+------
1 | 2 | 1 | 0 | 0
2 | 4 | 2 | 0 | 0
3 | 3 | 3 | 1 | 0
4 | 5 | 4 | 1 | 0
5 | 7 | 5 | 1 | 0
6 | 8 | 5 | 2 | 0
7 | 10 | 6 | 2 | 0
8 | 10 | 8 | 2 | 0
9 | 11 | 8 | 3 | 0
10 | 11 | 8 | 3 | 1
11 | 13 | 9 | 3 | 1
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Pontus von Brömssen, Mar 05 2023
STATUS
approved