A375299 Number of longest winning paths in n X n Hex.
1, 3, 1, 4, 23, 51, 20, 115, 5568, 12, 3521, 40, 1058, 2104, 668, 7540, 1298, 83648, 16631833, 70630
Offset: 1
Examples
For n = 4, the longest winning path has length 8, and the a(4) = 4 winning paths of length 8 are ======== ======== ======== ======== X . . . . X . . X . . . . X . . X . X X X . X X X . X X X . X X X X . X X X . X X X . X X X . X . . . X . . . X . . X . . . X . ======== ======== ======== ========
Links
- Peter Selinger, Longest winning paths in Hex, arXiv:2408.05601 [math.CO], 2024.
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