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A000573
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Number of 4 X n normalized Latin rectangles.
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4
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4, 56, 6552, 1293216, 420909504, 207624560256, 147174521059584, 143968880078466048, 188237563987982390784, 320510030393570671051776, 695457005987768649183581184, 1888143905499961681708381310976, 6314083806394358817244705266941952, 25655084790196439186603345691314159616
(list; graph; refs; listen; history; internal format)
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OFFSET
| 4,1
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REFERENCES
| P. G. Doyle, The number of Latin rectangles, (2007), arXiv:math/0703896v1 [math.CO]. [From Douglas Stones (douglas.stones(AT)sci.monash.edu.au), Apr 01 2009]
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 formulae 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.
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LINKS
| Sheng Lin, Xiaoguang Liu and Douglas S. Stones, Gang Wang, Table of n, K(4,n) for n=4..150
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
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CROSSREFS
| Cf. A003170, A001009.
Sequence in context: A158262 A089035 A089516 * A070019 A056075 A000315
Adjacent sequences: A000570 A000571 A000572 * A000574 A000575 A000576
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KEYWORD
| nonn,nice
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AUTHOR
| Brendan McKay (bdm(AT)cs.anu.edu.au) and Eric Rogoyski
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