Geodesic
The Number of Very Reduced 4 × n Latin Rectangles
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1011-1017

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Two permutations (displayed in the two rows) of the integers 1, 2, ... , n are called discordant if ai ≠ bi, i = 1, 2, ..., n. Let v(4, n), n ⩾ 4, be the number of permutations discordant with the three Permutations 
Moser, W. O. J. The Number of Very Reduced 4 × n Latin Rectangles. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1011-1017. doi: 10.4153/CJM-1967-092-5
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[1] 1. Erdös, P. and Kaplansky, I., The asymptotic number of Latin rectangles, Amer. J. Math., 68 (1946), 230–236. Google Scholar

[2] 2. Kaplansky, I., Solution to the “problème des ménages”, Bull. Amer. Math. Soc., 49 (1943), 784–785. Google Scholar

[3] 3. Kaplansky, I., Symbolic solution of certain problems in permutations, Bull. Amer. Math. Soc., 50 (1944), 906–914. Google Scholar

[4] 4. Riordan, J., An introduction to combinatorial analysis (New York, 1958). Google Scholar

[5] 5. Yamamoto, K., On the asymptotic number of Latin rectangles, Japan. J. Math., 21 (1951), 113–119. Google Scholar

[6] 6. Yamamoto, K., Structure polynomial of Latin rectangles and its application to a combinatorial problem, Mem. Fac. Sci. Kyusyu Univ., Ser. A, 10 (1956), 1–13. Google Scholar

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