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

Offset: 1

Author

Brendan McKay

Keywords

• nonn
• tabl
• nice

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.

Extensions

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