A361428 Maximum difficulty level (see A361424 for the definition) for tiling an n X 4 rectangle with a set of integer-sided rectangles, rounded down to the nearest integer.
4, 12, 48, 80, 480, 2880, 13440, 53760, 107520, 322560, 725760
Offset: 1
Examples
The following table shows all sets of pieces that give the maximum (n,4)-tiling difficulty level up to n = 11.
\ Number of pieces of size
n \ 1X1 | 1X2 | 1X3 | 1X4 | 1X5 | 1X6 | 1X7 | 1X8 | 1X10| 2X2 | 2X3 | 2X4
----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
2 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
2 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
3 | 0 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
4 | 0 | 1 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
5 | 0 | 1 | 3 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0
6 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0
6 | 0 | 0 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0
7 | 0 | 3 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 1 | 0
7 | 0 | 0 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0
8 | 0 | 3 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 2 | 0 | 0
9 | 0 | 3 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0
9 | 0 | 3 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | 1 | 1 | 0
9 | 0 | 0 | 3 | 1 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0
10 | 0 | 2 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1
11 | 1 | 2 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 1 | 2 | 0
11 | 1 | 1 | 0 | 0 | 1 | 2 | 0 | 0 | 1 | 2 | 1 | 0
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