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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Counting Latin rectangles

Author(s): Ira M. Gessel
Journal: Bull. Amer. Math. Soc. 16 (1987), 79-82.
MSC (1985): Primary 05A15
MathSciNet review: 866019
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References:

1.
K. B. Athreya, C. R. Pranesachar, and N. M. Singhi, On the number of Latin rectangles and chromatic polynomials of L(K, European J. Combin. 1 (1980), 9-17. MR 576760
2.
K. P. Bogart and J. Q. Longyear, Counting 3 by n Latin rectangles, Proc. Amer. Math. Soc. 54 (1976), 463-467. MR 389618
3.
I. M. Gessel, Counting three-line Latin rectangles, Proc. Colloque de Combinatoire Énumérative, UQAM 1985, to be published. MR 927761
4.
I. P. Goulden and D. M. Jackson, Combinatorial enumeration, Wiley, 1983. MR 702512
5.
S. M. Jacob, The enumeration of the Latin rectangle of depth three by means of a formula of reduction, with other theorems relating to non-clashing substitutions and Latin squares, Proc. London Math. Soc. 31 (1930), 329-354.
6.
S. M. Kerewala, The enumeration of the Latin rectangle of depth three by means of difference equations, Bull. Calcutta Math. Soc. 33 (1941), 119-127. MR 6991
7.
L. Lipshitz, The diagonal of a D-finite power series is D-finite, J. Algebra (to appear). MR 929767
8.
J. R. Nechvatal, Asymptotic enumeration of generalized Latin rectangles, Utilitas Math. 20 (1981), 273-292. MR 639893
9.
R. Pranesachar, Enumeration of Latin rectangles via SDR's, Combinatorics and Graph Theory, (S. B. Rao, ed.), Lecture Notes in Math., vol. 885, Springer-Verlag, Berlin and New York, 1981, pp. 380-390. MR 655638
10.
J. Riordan, Three-line Latin rectangles, Amer. Math. Monthly 51 (1944), 450-452. MR 11065
11.
J. Riordan, Three-line Latin rectangles. II, Amer. Math. Monthly 53 (1946), 18-20. MR 14035
12.
J. Riordan, An introduction to combinatorial analysis, Wiley, 1958. MR 96594
13.
G.-C. Rota, On the foundations of combinatorial theory, I. Theory of Möbius functions, Z. Wahrsch. Verw. Gebiete 2 (1964), 340-368. MR 174487
14.
M.-P. Schützenberger, Contributions aux applications statistiques de la théorie de l'information, Publ. Inst. Statist. Univ. Paris 3 (1954), 5-117. MR 77816
15.
R. P. Stanley, Differentiably finite power series, European J. Combin. 1 (1980), 175-188. MR 587530
16.
D. Zeilberger, Sister Celine's technique and its generalizations, J. Math. Anal. Appl. 85 (1982), 114-145. MR 647562

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Additional Information:

DOI: 10.1090/S0273-0979-1987-15465-6
PII: S 0273-0979(1987)15465-6


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