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%I #6 Dec 01 2014 12:45:59
%S 63,423,423,2828,6653,2828,18910,105897,105897,18910,126468,1691169,
%T 4006992,1691169,126468,845838,27018053,151364054,151364054,27018053,
%U 845838,5657125,431623476,5710752444,13508173078,5710752444,431623476
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the maximum of its antidiagonal elements
%C Table starts
%C ......63........423..........2828............18910...............126468
%C .....423.......6653........105897..........1691169.............27018053
%C ....2828.....105897.......4006992........151364054...........5710752444
%C ...18910....1691169.....151364054......13508173078........1205414504630
%C ..126468...27018053....5710752444....1205414504630......254604954671538
%C ..845838..431623476..215399006284..107601568615993....53785005221582139
%C .5657125.6895174650.8124335802103.9606281958966442.11361245256068263101
%H R. H. Hardin, <a href="/A251019/b251019.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = 9*a(n-1) -18*a(n-2) +18*a(n-3) -7*a(n-4) +a(n-5)
%F k=2: [order 14]
%F k=3: [order 34]
%F k=4: [order 92]
%e Some solutions for n=2 k=4
%e ..0..0..0..2..1....0..0..2..2..2....0..2..2..2..1....0..1..2..2..1
%e ..0..2..2..2..1....0..0..2..0..0....0..2..0..2..1....0..2..2..2..0
%e ..1..2..2..1..0....1..1..2..0..0....0..2..1..2..2....1..2..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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