fixed Latin squares =? A000479(n)

Eric W. Weisstein eww at wolfram.com
Sun Dec 18 21:37:16 CET 2005


Let a(n) be A000479(n), the number of latin squares of order n with first 
row 1,2,...,n; given by 1,1,1,2,24,1344,...

Let b(n) be the number of fixed latin squares of order n, i.e., latin 
squares of order n having all 1's on the diagonal.

By direct enumeration, b(n) = a(n) for 1<=n<=5.

Does b(n) = a(n) in general?

Cheers,
-Eric





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