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%I #4 Aug 21 2018 13:21:46
%S 0,0,0,0,1,0,0,1,1,0,0,2,4,2,0,0,5,18,18,5,0,0,16,86,174,86,16,0,0,45,
%T 413,1538,1538,413,45,0,0,123,1975,13722,24576,13722,1975,123,0,0,340,
%U 9474,123415,407121,407121,123415,9474,340,0,0,946,45415,1108310,6735734
%N T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Table starts
%C .0...0.....0.......0..........0............0..............0.................0
%C .0...1.....1.......2..........5...........16.............45...............123
%C .0...1.....4......18.........86..........413...........1975..............9474
%C .0...2....18.....174.......1538........13722.........123415...........1108310
%C .0...5....86....1538......24576.......407121........6735734.........111410550
%C .0..16...413...13722.....407121.....12458503......381426500.......11669008142
%C .0..45..1975..123415....6735734....381426500....21578384304.....1220340668071
%C .0.123..9474.1108310..111410550..11669008142..1220340668071...127593300875084
%C .0.340.45415.9952342.1842642459.357007586982.69013808316210.13340146521225527
%H R. H. Hardin, <a href="/A318222/b318222.txt">Table of n, a(n) for n = 1..241</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = 2*a(n-1) +a(n-2) +2*a(n-3) +3*a(n-4) +a(n-5) for n>6
%F k=3: [order 11]
%F k=4: [order 36] for n>39
%e Some solutions for n=5 k=4
%e ..0..1..1..0. .0..1..0..0. .0..1..0..1. .0..1..0..0. .0..1..0..1
%e ..1..0..0..1. .1..0..1..1. .1..1..0..1. .1..0..1..1. .1..1..1..0
%e ..0..1..1..0. .1..0..0..0. .0..0..0..0. .0..1..0..0. .0..0..0..1
%e ..0..0..1..1. .0..1..0..1. .1..1..1..0. .0..0..0..1. .1..1..1..0
%e ..1..0..1..0. .0..1..1..0. .0..0..0..1. .1..1..1..0. .0..1..0..1
%Y Column 2 is A317890.
%K nonn,tabl
%O 1,12
%A _R. H. Hardin_, Aug 21 2018
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