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A000573 Number of 4 X n normalized Latin rectangles. +0
3
4, 56, 6552, 1293216, 420909504, 207624560256, 147174521059584, 143968880078466048, 188237563987982390784, 320510030393570671051776, 695457005987768649183581184, 1888143905499961681708381310976, 6314083806394358817244705266941952, 25655084790196439186603345691314159616 (list; graph; listen)
OFFSET

4,1

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.

LINKS

Douglas Stones, Table of n, K(4,n) for n=4..80

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

CROSSREFS

Cf. A003170, A001009.

Sequence in context: A158262 A089035 A089516 this_sequence A070019 A056075 A000315

Adjacent sequences: A000570 A000571 A000572 this_sequence A000574 A000575 A000576

KEYWORD

nonn,nice

AUTHOR

Brendan McKay (bdm(AT)cs.anu.edu.au) and Eric Rogoyski

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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