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%I #4 Jan 29 2015 19:57:35
%S 512,3372,3372,21304,35529,21304,136868,406548,409051,136868,881432,
%T 4711324,8533796,4766957,881432,5659548,54122833,174326376,175329586,
%U 54712559,5659548,36317408,623732385,3575408117,6208345944,3587965682
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Table starts
%C ........512...........3372.............21304...............136868
%C .......3372..........35529............406548..............4711324
%C ......21304.........409051...........8533796............174326376
%C .....136868........4766957.........175329586...........6208345944
%C .....881432.......54712559........3587965682.........221610958936
%C ....5659548......630430184.......73923120984........7953519068760
%C ...36317408.....7273310228.....1521733260456......284691702793848
%C ..233116252....83838776143....31311650491630....10191880755435432
%C .1496407920...966536400371...644509809793486...365002334364846728
%C .9605229252.11143872854174.13265570942855016.13069563587899442888
%H R. H. Hardin, <a href="/A254390/b254390.txt">Table of n, a(n) for n = 1..283</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 13]
%F k=2: [order 33]
%F k=3: [order 50]
%F Empirical for row n:
%F n=1: [same linear recurrence of order 13]
%F n=2: [order 41] for n>42
%F n=3: [order 68] for n>70
%e Some solutions for n=2 k=4
%e ..0..0..1..1..0..1....0..0..1..1..1..1....0..1..1..1..0..1....1..1..0..1..1..0
%e ..0..0..0..1..0..0....0..1..0..0..0..0....0..0..0..1..0..1....0..0..0..1..1..0
%e ..0..0..1..1..1..1....0..0..1..1..1..0....1..0..1..0..1..1....1..0..0..1..1..1
%e ..1..0..1..0..1..0....1..1..1..0..1..1....1..0..1..0..1..0....1..0..1..1..0..0
%Y Column 1 and row 1 are A253978
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 29 2015
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