1,4
An Latin subrectangle is a m X k Latin rectangle of a Latin square of order n, 1 <= m <= n, 1 <= k <= n.
Table of n, a(n) for n=1..7.
E. I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru (in Russian)
Index entries for sequences related to Latin squares and rectangles
For example, the square
0 1 2 3 4 5 6
4 2 6 5 0 1 3
3 6 1 0 5 2 4
6 3 5 4 1 0 2
1 5 3 2 6 4 0
5 0 4 6 2 3 1
2 4 0 1 3 6 5
has a Latin subrectangle
. . . . . . .
. . 6 5 0 1 3
. . 0 1 3 6 5
The total number of Latin subrectangles for this square is 2119.
Cf. A307840.
Sequence in context: A325085 A142497 A142523 * A307840 A142211 A142447
Adjacent sequences: A307835 A307837 A307838 * A307840 A307841 A307842
nonn,more
Eduard I. Vatutin, May 01 2019
approved
