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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.
1
4, 12, 48, 80, 480, 2880, 13440, 53760, 107520, 322560, 725760
OFFSET
1,1
COMMENTS
For all currently known terms, the maximum difficulty level is an integer.
EXAMPLE
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
CROSSREFS
Fourth column of A361424.
Cf. A361220.
Sequence in context: A035310 A022016 A151441 * A032380 A057346 A255230
KEYWORD
nonn,more
AUTHOR
STATUS
approved