A112454 -id:A112454 - cp's OEIS frontend

A211172 A Sudoku torus.

6, 5, 7, 3, 4, 2, 1, 9, 8, 9, 8, 1, 5, 6, 7, 4, 3, 2, 3, 2, 4, 8, 9, 1, 6, 5, 7, 5, 7, 6, 2, 3, 4, 9, 8, 1, 8, 1, 9, 7, 5, 6, 3, 2, 4, 2, 4, 3, 1, 8, 9, 5, 7, 6, 7, 6, 5, 4, 2, 3, 8, 1, 9, 1, 9, 8, 6, 7, 5, 2, 4, 3, 4, 3, 2, 9, 1, 8, 7, 6, 5

Offset: 1

Jon Perry, Jan 31 2013

The sequence is a listing for a Sudoku grid:
6 5 7 3 4 2 1 9 8
9 8 1 5 6 7 4 3 2
3 2 4 8 9 1 6 5 7
5 7 6 2 3 4 9 8 1
8 1 9 7 5 6 3 2 4
2 4 3 1 8 9 5 7 6
7 6 5 4 2 3 8 1 9
1 9 8 6 7 5 2 4 3
4 3 2 9 1 8 7 6 5
No two diagonally adjacent elements are the same. If the grid is rolled into a cylinder either way, this is still true making a 'Sudoku torus'.
This extra information can be used to construct puzzles that use 'no diagonal' logic.
The two lexicographical Sudoki in the cross-references have one internal diagonal each and several external diagonals.

			If a puzzle has say:
   |x
  5|
___|x
then x cannot be 5.

Mathworld, Sudoku
Wikipedia, Sudoku

Cf. A107739.

Cf. A114288, A112454 (lexicographic grids).

A175547 Lexicographically earliest sequence of increasing 9-digit zeroless anagrams that share no common digit place with previous terms.

Original entry on oeis.org

123456789, 214365897, 341278956, 432189675, 567891234, 658917342, 789523461, 896742513, 975634128

Offset: 1

Zak Seidov, Jun 24 2010

Cf. A114288 / A112454 Lexicographically earliest / maximal solution of any 9 X 9 sudoku. A050289 Zeroless pandigital numbers: numbers containing the digits 1-9 and no 0's.

cp's OEIS Frontend

A211172 A Sudoku torus.

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A175547 Lexicographically earliest sequence of increasing 9-digit zeroless anagrams that share no common digit place with previous terms.

Views

Author

Keywords

Crossrefs