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A001009 Triangle giving number L(n,k) of normalized k X n Latin rectangles. 6

%I

%S 1,1,1,1,1,1,1,3,4,4,1,11,46,56,56,1,53,1064,6552,9408,9408,1,309,

%T 35792,1293216,11270400,16942080,16942080,1,2119,1673792,420909504,

%U 27206658048,335390189568,535281401856,535281401856,1,16687,103443808

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

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

%H H. Jamke, <a href="/A001009/b001009.txt">Table of n, a(n) for n = 1..66</a>

%H B. D. McKay and E. Rogoyski, <a href="http://www.combinatorics.org/Volume_2/volume2.html#N3">Latin squares of order ten</a>, Electron. J. Combinatorics, 2 (1995) #N3.

%H D. S. Stones, <a href="http://www.combinatorics.org/Volume_17/PDF/v17i1a1.pdf">The many formulas for the number of Latin rectangles</a>, Electron. J. Combin 17 (2010), A1.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LatinRectangle.html">Latin Rectangle.</a>

%H <a href="/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>

%Y Rows include A001623, A000573. Diagonals include A000576.

%K nonn,tabl,nice

%O 1,8

%A _Brendan McKay_

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

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Last modified February 18 15:08 EST 2018. Contains 299324 sequences. (Running on oeis4.)