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 A109741 Number of inequivalent (completed) n^2 X n^2 sudokus (or Sudokus). 5
 1, 1, 2, 5472730538 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS See A107739 for definition of an n^2 X n^2 sudoku. a(2) = 2 independently computed by Gary McGuire and Hugo van der Sanden. For the 9 X 9 case the allowed equivalences are (see link to Jarvis et al.): - relabeling entries; reflection; rotation; - permutation of blocks of columns 1-3, 4-6 and 7-9; - permutation of blocks of rows 1-3, 4-6 and 7-9; - permutation of columns 1-3; permutation of rows 1-3; - permutation of columns 4-6; permutation of rows 4-6; - permutation of columns 7-9; permutation of rows 7-9. See A107739 for the total number of ("square") sudoku grids, A114288 for the lexicographically earliest 9 X 9 solution. - M. F. Hasler, Mar 29 2013 REFERENCES J.-P. Delahaye, "Le tsunami du Sudoku" in 'Pour La Science' (French Edition of "Scientific American"), December 2005 pp. 144-9, Paris. LINKS Table of n, a(n) for n=0..3. J. P. Grossman, Javascript Sudoku solver S. Gupta, Exploring the Mathematics of Su Doku Frazer Jarvis et al., Sudoku enumeration problems Eric Weisstein's World of Mathematics, Sudoku Wikipedia, Sudoku EXAMPLE a(2) = 2: 12|34 12|34 34|12 34|12 --+-- --+-- 21|43 23|41 43|21 41|23 CROSSREFS Sequence in context: A306499 A051241 A094486 * A105759 A154422 A154423 Adjacent sequences: A109738 A109739 A109740 * A109742 A109743 A109744 KEYWORD nonn,bref,hard AUTHOR N. J. A. Sloane, Aug 13 2005 EXTENSIONS Links to Jarvis et al. fixed by M. F. Hasler, Mar 29 2013 STATUS approved

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Last modified May 25 07:15 EDT 2024. Contains 372782 sequences. (Running on oeis4.)