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A000573 Number of 4 X n normalized Latin rectangles. 3
4, 56, 6552, 1293216, 420909504, 207624560256, 147174521059584, 143968880078466048, 188237563987982390784, 320510030393570671051776, 695457005987768649183581184, 1888143905499961681708381310976, 6314083806394358817244705266941952, 25655084790196439186603345691314159616 (list; graph; refs; listen; history; text; internal format)



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.

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.

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


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, (2007), arXiv:math/0703896v1 [math.CO].

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

Index entries for sequences related to Latin squares and rectangles


Cf. A003170, A001009.

Sequence in context: A158262 A089035 A089516 * A070019 A056075 A000315

Adjacent sequences:  A000570 A000571 A000572 * A000574 A000575 A000576




Brendan McKay and Eric Rogoyski



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Last modified August 23 13:52 EDT 2017. Contains 291004 sequences.