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%I #4 Nov 27 2012 06:13:54
%S 2,2,3,3,4,4,4,6,6,5,5,9,14,8,6,6,12,33,29,10,7,7,15,65,100,56,12,8,8,
%T 18,114,291,283,101,14,9,9,21,189,771,1229,732,171,16,10,10,24,298,
%U 1887,4837,4795,1745,274,18,11,11,27,450,4278,17259,27921,17186,3881,419,20
%N T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array
%C Table starts
%C ..2..2....3.....4.......5.........6...........7............8.............9
%C ..3..4....6.....9......12........15..........18...........21............24
%C ..4..6...14....33......65.......114.........189..........298...........450
%C ..5..8...29...100.....291.......771........1887.........4278..........9072
%C ..6.10...56...283....1229......4837.......17259........57116........176642
%C ..7.12..101...732....4795.....27921......147012.......723580.......3337980
%C ..8.14..171..1745...17186....147717.....1163030......8679368......61361285
%C ..9.16..274..3881...57060....725287.....8624956.....98763027....1085502065
%C .10.18..419..8149..177629...3342140....60333410...1063904653...18231769222
%C .11.20..616.16288..522893..14569918...399317172..10816200665..287942095263
%C .12.22..876.31169.1463248..60328126..2503952448.103753630773.4270833925408
%C .13.24.1211.57354.3907906.237879223.14900183092.940929072946
%H R. H. Hardin, <a href="/A219773/b219773.txt">Table of n, a(n) for n = 1..197</a>
%e Some solutions for n=3 k=4
%e ..0..0..0..0....0..0..0..0....0..0..0..0....1..1..1..1....0..0..1..1
%e ..0..0..0..0....0..0..0..0....0..0..0..1....1..1..1..1....1..1..1..1
%e ..1..0..0..0....1..0..0..1....0..0..1..1....1..1..1..1....1..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Nov 27 2012
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