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A formula for the number of Latin squares
Authors:Jia-yu Shao

Wan-di Wei

Institution:

Department of Applied Mathematics, Tongji University, Shanghai, 200092, China

Department of Mathematics, Sichuan University, Chengdu, China

Abstract:We establish an explicit formula for the number of Latin squares of order n:
Image
, where Bn is the set of n×n(0,1) matrices, σ0(A is the number of zero elements of the matrix A and per A is the permanent of the matrix A.
Keywords:
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