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%I #4 Jan 26 2015 17:47:53
%S 512,2908,2908,14096,20380,14096,66144,142088,140108,66144,299472,
%T 968448,1465824,939056,299472,1303600,6170408,14601048,13994248,
%U 5818936,1303600,5525648,38010356,138055264,199474076,124599008,35265504,5525648
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Table starts
%C .......512........2908.........14096...........66144.............299472
%C ......2908.......20380........142088..........968448............6170408
%C .....14096......140108.......1465824........14601048..........138055264
%C .....66144......939056......13994248.......199474076.........2761863976
%C ....299472.....5818936.....124599008......2521994340........50440581336
%C ...1303600....35265504....1106508576.....32048165156.......934751059040
%C ...5525648...211785820....9808618856....406615285408.....17244253826864
%C ..23034276..1260109624...86680216604...5135656451504....316309557137336
%C ..94841688..7470540196..765784579880..64842235013056...5804947465146740
%C .386810592.44215816908.6764564938736.818830301031628.106550751458655472
%H R. H. Hardin, <a href="/A254189/b254189.txt">Table of n, a(n) for n = 1..261</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 26]
%F k=2: [order 51] for n>59
%F Empirical for row n:
%F n=1: [same linear recurrence of order 26]
%F n=2: [order 53] for n>64
%e Some solutions for n=2 k=4
%e ..0..0..1..0..0..0....0..0..0..0..1..1....0..0..0..0..0..0....0..1..0..0..1..1
%e ..0..0..0..1..0..1....1..0..0..0..0..0....1..0..0..0..0..0....1..1..0..0..0..0
%e ..0..0..0..1..0..1....1..0..0..1..1..0....1..1..0..1..1..1....0..1..0..0..1..1
%e ..0..1..1..1..1..0....1..1..1..1..0..0....0..1..1..1..1..0....0..0..0..1..1..0
%Y Column 1 and row 1 are A253794
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 26 2015
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