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A309514
Number of winning Tak paths on an n X n board.
0
1, 4, 14, 56, 302
OFFSET
1,2
COMMENTS
A "winning path" on any given Tak board is defined to be any path that connects one side of the grid to the opposite side, consistent with a path as defined by the rules of the game (see link), and which does not include within it a more direct winning path (a "shortcut").
The given terms (1, 4, 14, 56, 302) were generated by a combination of brute-force enumeration and generation by computer program (subsequently verified against an enumerated list).
Conjectured terms above n=5, generated by computer program, are 2012, 22574, 534312, 24816752, and 1908479044.
LINKS
CROSSREFS
Sequence in context: A375454 A006212 A126701 * A151884 A002735 A026652
KEYWORD
nonn,more
AUTHOR
Jakob Gowell, Aug 03 2019
STATUS
approved