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%I #4 Nov 17 2012 05:43:38
%S 2,2,2,3,3,3,4,6,6,4,5,9,19,9,5,6,12,42,42,12,6,7,15,79,149,79,15,7,8,
%T 18,136,423,423,136,18,8,9,21,220,1092,1751,1092,220,21,9,10,24,339,
%U 2623,6546,6546,2623,339,24,10,11,27,502,5937,22970,35654,22970,5937,502,27
%N T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or vertical 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 ..2..3....6.....9......12........15..........18...........21...........24
%C ..3..6...19....42......79.......136.........220..........339..........502
%C ..4..9...42...149.....423......1092........2623.........5937........12729
%C ..5.12...79...423....1751......6546.......22970........76311.......240506
%C ..6.15..136..1092....6546.....35654......185295.......919934......4332241
%C ..7.18..220..2623...22970....185295.....1455308.....11001188.....78655701
%C ..8.21..339..5937...76311....919934....11001188....127423164...1394753542
%C ..9.24..502.12729..240506...4332241....78655701...1394753542..23439798583
%C .10.27..719.26009..721669..19354356...530818425..14376467589.371292062952
%C .11.30.1001.50896.2070006..82377686..3400770086.140516840054
%C .12.33.1360.95774.5692328.335088654.20765160878
%H R. H. Hardin, <a href="/A219291/b219291.txt">Table of n, a(n) for n = 1..180</a>
%e Some solutions for n=3 k=4
%e ..0..0..0..0....0..0..0..1....0..0..0..1....0..0..0..0....1..1..1..1
%e ..0..0..0..0....0..0..0..1....0..0..1..1....0..0..0..0....1..1..1..1
%e ..0..0..1..1....0..0..0..0....0..0..1..1....0..1..1..0....1..1..1..1
%Y Column 2 is A008486(n-1)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Nov 17 2012
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