For n = 4 there are a(4) = 11 dissections:
+-+-+-+-+ +---+-+-+ +-+---+-+ +-+-+-+-+ +---+---+ +---+-+-+
| | | | | | | | | | | | | | | | | | | | | | | | |
+-+-+-+-+ | +-+-+ +-+ +-+ +-+-+-+-+ | | | | +-+-+
| | | | | | | | | | | | | | | | | | | | | | |
+-+-+-+-+ +-+-+-+-+ +-+-+-+-+ +-+ +-+ +-+-+-+-+ +-+-+ |
| | | | | | | | | | | | | | | | | | | | | | | | | | | |
+-+-+-+-+ +-+-+-+-+ +-+-+-+-+ +-+-+-+-+ +-+-+-+-+ +-+-+-+-+
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
+-+-+-+-+ +-+-+-+-+ +-+-+-+-+ +-+-+-+-+ +-+-+-+-+ +-+-+-+-+
...
+---+-+-+ +-+---+-+ +---+---+ +---+---+ +-----+-+
| | | | | | | | | | | | | | | | |
| +-+-+ +-+ +-+ | | | | | | | +-+
| | | | | | | | | | | | | | | | |
+-+-+-+-+ +-+---+-+ +---+-+-+ +-+-+-+-+ | +-+
| | | | | | | | | | | | | | | | | | |
+-+-+ | +-+ +-+ | +-+-+ +-+ +-+ +-+-+-+-+
| | | | | | | | | | | | | | | | | | | | |
+-+-+---+ +-+---+-+ +---+-+-+ +-+---+-+ +-+-+-+-+
...
For n = 5 there are a(5) = 76 dissections, each of which comprises one of A221843(5) = 10 sets of subsquares:
.
Subsquares Prime dissections
4 X 4 3 X 3 2 X 2 1 X 1 (up to symmetry)
----- ----- ----- ----- ----------------
- - - 25 1
- - 1 21 3
- - 2 17 13
- - 3 13 20
- - 4 9 14
- 1 - 16 3
- 1 1 12 6
- 1 2 8 10
- 1 3 4 5
1 - - 9 1
--
76
|