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%I #4 Feb 23 2018 08:28:34
%S 1,1,1,1,5,1,1,12,12,1,1,37,22,37,1,1,104,81,81,104,1,1,301,307,427,
%T 307,301,1,1,864,1201,2338,2338,1201,864,1,1,2485,5066,13458,21811,
%U 13458,5066,2485,1,1,7144,21292,84948,204034,204034,84948,21292,7144,1,1,20541
%N T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Table starts
%C .1....1.....1.......1.........1...........1............1..............1
%C .1....5....12......37.......104.........301..........864...........2485
%C .1...12....22......81.......307........1201.........5066..........21292
%C .1...37....81.....427......2338.......13458........84948.........543741
%C .1..104...307....2338.....21811......204034......2004660.......19807948
%C .1..301..1201...13458....204034.....3126013.....49405101......783633192
%C .1..864..5066...84948...2004660....49405101...1240303182....31113970216
%C .1.2485.21292..543741..19807948...783633192..31113970216..1230133478378
%C .1.7144.90443.3534493.196822255.12536955677.788871054393.49254153618728
%H R. H. Hardin, <a href="/A300035/b300035.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = 5*a(n-2) +8*a(n-3) +4*a(n-4)
%F k=3: [order 19] for n>20
%F k=4: [order 66] for n>68
%e Some solutions for n=5 k=4
%e ..0..0..1..1. .0..0..1..0. .0..0..0..0. .0..0..1..1. .0..0..1..0
%e ..1..0..0..1. .0..0..1..1. .1..0..1..0. .0..1..1..0. .0..1..1..1
%e ..1..1..1..1. .1..0..1..1. .1..1..0..1. .1..0..0..0. .1..1..0..0
%e ..0..0..0..0. .1..1..0..0. .0..0..1..0. .0..1..1..0. .0..0..1..0
%e ..1..0..0..1. .0..1..0..0. .1..0..0..0. .0..0..1..1. .1..0..1..1
%Y Column 2 is A297909.
%Y Column 3 is A299216.
%Y Column 4 is A299217.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Feb 23 2018
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