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A109741 Number of inequivalent (completed) n^2 X n^2 sudokus (or Sudokus). +0
4
1, 1, 2, 5472730538 (list; graph; listen)
OFFSET

0,3

COMMENT

See A107739 for definition of a sudoku.

a(2) = 2 independently computed by Gary McGuire and Hugo van der Sanden.

For the 9 X 9 case the allowed equivalences are: 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.

REFERENCES

J.-P. Delahaye, "Le tsunami du Sudoku" in 'Pour La Science' (French Edition of "Scientific American"), December 2005 pp. 144-9, Paris.

LINKS

Bertram Felgenhauer and Frazer Jarvis, There are 6670903752021072936960 Sudoku grids

J. P. Grossman, Javascript Sudoku solver

S. Gupta, Exploring the Mathematics of Su Doku

Ed Russell and Frazer Jarvis, There are 5472730538 essentially different Sudoku grids

Wikipedia, Sudoku

Eric Weisstein's World of Mathematics, 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: A034251 A051241 A094486 this_sequence A105759 A072293 A139180

Adjacent sequences: A109738 A109739 A109740 this_sequence A109742 A109743 A109744

KEYWORD

nonn

AUTHOR

njas, Aug 13 2005

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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