A Possibly easy for you, but hard for me Question about Sudoku

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A "Possibly easy for you, but hard for me" Question about Sudoku

How to calculate the maximum number of valid patterns on a 9x9 Sudoku board?

I was coding a flash application which is basically a "sudoku solver". This question is not related with qhat I'm doing but just curious.

Please, generalize your answers to NxN boards also, if you can.
 
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Wolfram MathWorld has a pretty interesting entry about Sudoku. There are also a couple of noteworthy references to read as well.
 

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