A000573 Number of 4 X n normalized Latin rectangles.

4, 56, 6552, 1293216, 420909504, 207624560256, 147174521059584, 143968880078466048, 188237563987982390784, 320510030393570671051776, 695457005987768649183581184, 1888143905499961681708381310976, 6314083806394358817244705266941952, 25655084790196439186603345691314159616

Offset

4,1

References

S. M. Kerawala, The enumeration of the Latin rectangle of depth three by means of a difference equation, Bull. Calcutta Math. Soc., 33 (1941), 119-127.

Links

Sheng Lin, Xiaoguang Liu and Douglas S. Stones, Gang Wang, Table of n, K(4,n) for n=4..150

P. G. Doyle, The number of Latin rectangles, arXiv:math/0703896v1 [math.CO], 2007.

B. D. McKay and E. Rogoyski, Latin squares of order ten, Electron. J. Combinatorics, 2 (1995) #N3.

Douglas Stones, Doyle's formula for the number of reduced 6xn Latin rectangles

Douglas Stones, Enumeration Of Latin Squares And Rectangles

D. S. Stones, The many formulas for the number of Latin rectangles, Electron. J. Combin 17 (2010), A1.

D. S. Stones and I. M. Wanless, Divisors of the number of Latin rectangles, J. Combin. Theory Ser. A 117 (2010), 204-215.

R. J. Stones, S. Lin, X. Liu, G. Wang, On Computing the Number of Latin Rectangles, Graphs and Combinatorics (2016) 32:1187-1202; DOI 10.1007/s00373-015-1643-1.

Index entries for sequences related to Latin squares and rectangles

Crossrefs

Cf. A003170, A001009.

Sequence in context: A327145 A089516 A361217 * A070019 A056075 A000315

Adjacent sequences: A000570 A000571 A000572 * A000574 A000575 A000576

Keyword

nonn,nice

Author

Brendan McKay and Eric Rogoyski

Status

approved