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A172478 The number of ways to dissect an n X n square into polyominoes of size n and then fill it to make it a Latin square, with the extra requirement that each number occurs within each polyomino exactly once. 0
1, 4, 72, 13872, 11762160, 234312972480, 41182101508222080 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
a(n) is the number of completed n X n jigsaw sudoku puzzles.
REFERENCES
J. de Ruiter, On Jigsaw Sudoku Puzzles and Related Topics, Bachelor Thesis, Leiden Institute of Advanced Computer Science, 2010. [From Johan de Ruiter, Jun 15 2010]
LINKS
EXAMPLE
A 2 X 2 square can be covered by two dominoes by either positioning them vertically or horizontally. Both of these coverings allow for two 2 X 2 Latin squares without violating the extra constraint.
CROSSREFS
Cf. A002860 (Number of Latin squares of order n), A172477 (Number of ways to dissect an n X n square into polyominoes of size n).
Sequence in context: A024257 A152653 A344693 * A087315 A081460 A327040
KEYWORD
nonn
AUTHOR
Johan de Ruiter, Feb 04 2010
STATUS
approved

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Last modified June 18 12:00 EDT 2024. Contains 373481 sequences. (Running on oeis4.)