N ov 2 00 7 HOW MANY LATIN RECTANGLES ARE THERE ?

@inproceedings{Gennaro2007NO2,
  title={N ov 2 00 7 HOW MANY LATIN RECTANGLES ARE THERE ?},
  author={Aurelio de Gennaro},
  year={2007}
}
  • Aurelio de Gennaro
  • Published 2007
Until now the problem of counting Latin rectangles m × n has been solved with an explicit formula for m = 2, 3 and 4 only. In the present paper an explicit formula is provided for the calculation of the number of Latin rectangles for any order m. The results attained up to now become particular cases of this new formula. Furthermore, putting m = n, the number of Latin squares of order n can also be obtained in an explicit form. 0. Introduction A Latin rectangle m × n is a matrix with n rows and… CONTINUE READING