A001009 - OEIS

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A001009

Triangle giving number L(n,k) of normalized k X n Latin rectangles.

1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 1, 11, 46, 56, 56, 1, 53, 1064, 6552, 9408, 9408, 1, 309, 35792, 1293216, 11270400, 16942080, 16942080, 1, 2119, 1673792, 420909504, 27206658048, 335390189568, 535281401856, 535281401856, 1, 16687, 103443808

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,8

REFERENCES

CRC Handbook of Combinatorial Designs, 1996, p. 104.

LINKS

H. Jamke, Table of n, a(n) for n = 1..66

Eric Fernando Bravo, On concatenations of Padovan and Perrin numbers, Math. Commun. (2023) Vol 28, 105-119.

B. D. McKay and E. Rogoyski, Latin squares of order ten, Electron. J. Combinatorics, 2 (1995) #N3.

D. S. Stones, The many formulas for the number of Latin rectangles, Electron. J. Combin 17 (2010), A1.

Eric Weisstein's World of Mathematics, Latin Rectangle.

Index entries for sequences related to Latin squares and rectangles

CROSSREFS

Rows include A001623, A000573. Diagonals include A000576.

Sequence in context: A204255 A283753 A120649 * A120650 A103121 A291086

Adjacent sequences: A001006 A001007 A001008 * A001010 A001011 A001012

KEYWORD

nonn,tabl,nice

AUTHOR

Brendan McKay

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 12 2010

STATUS

approved