%I #4 Jan 31 2015 07:51:29
%S 512,2696,2696,12260,11293,12260,47140,50454,50454,47140,170504,
%T 170900,211579,170900,170504,586508,603895,686988,686988,603895,
%U 586508,1964388,1990286,2289173,2539310,2289173,1990286,1964388,6462708,6557179,7113819
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally and vertically
%C Table starts
%C ......512......2696.....12260......47140.....170504.....586508.....1964388
%C .....2696.....11293.....50454.....170900.....603895....1990286.....6557179
%C ....12260.....50454....211579.....686988....2289173....7113819....22624962
%C ....47140....170900....686988....2539310....8704471...28312934....86663046
%C ...170504....603895...2289173....8704471...24234594...71273789...191995191
%C ...586508...1990286...7113819...28312934...71273789..205535751...540249256
%C ..1964388...6557179..22624962...86663046..191995191..540249256..1553637600
%C ..6462708..20990158..68677228..247709745..525287732.1390563554..4193549493
%C .21003228..66511881.207208428..682297737.1379347935.3531296333.11469180519
%C .67662328.206889218.608944631.1838103410.3717747517.9326702364.30648695723
%H R. H. Hardin, <a href="/A254483/b254483.txt">Table of n, a(n) for n = 1..287</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 27] for n>32
%F k=2: [order 54] for n>62
%e Some solutions for n=2 k=4
%e ..0..0..0..1..1..1....0..0..0..0..1..1....0..0..0..1..1..0....0..0..0..0..0..1
%e ..0..0..1..0..0..0....1..0..1..0..1..0....0..0..1..1..0..0....0..0..0..1..1..1
%e ..0..0..1..0..1..1....1..0..1..0..1..1....0..1..0..1..1..1....0..0..0..1..0..1
%e ..0..1..1..0..1..1....0..0..1..1..1..1....0..1..0..1..0..0....1..0..0..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 31 2015
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