BALLATSQ

Create a balanced latin square (v2.2, mar 2009)

BALLATSQ - Balanced Latin Square
M = BALLATSQ(N) creates a balanced latin square of size N containing the numbers 1 to N. N should be an even positive integer.

A latin square of size M is a MxM matrix filled with the M different numbers in such a way that each number occurs exactly once in each row and exactly once in each column. A balanced latin square has the further restriction that each sequence of two values in a row does not occur more than once in the whole matrix. They have applications in the design of experiments.