A162544 Triangle giving number L(k,n) of isotopy classes of Latin rectangles.

1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 2, 1, 4, 16, 56, 40, 22, 1, 4, 56, 1398, 6941, 3479, 564, 1, 7, 370, 93561, 4735238, 29163047, 13302311, 1676267, 1, 8, 2877, 8024046

Offset

1,8

Comments

Isotopy class means an equivalence class of Latin rectangles under the operations of row permutation, column permutation and symbol permutation.

References

B. D. Mckay, Isomorph-free exhaustive generation, Department of Computer Science Australian National University, Canberra, 1998.

Links

Table of n, a(n) for n=1..40.

Crossrefs

Cf. A001009, A040082.

Sequence in context: A319815 A222656 A162545 * A209323 A083647 A364332

Adjacent sequences: A162541 A162542 A162543 * A162545 A162546 A162547

Keyword

nonn,tabl,more

Author

Vladan Radivojevic (vladanradivojevic(AT)yahoo.com), Jul 05 2009

Status

approved