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%I #4 Mar 13 2017 09:56:08
%S 0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,403,403,4,0,0,40,5432,11886,5432,
%T 40,0,0,264,50383,165152,165152,50383,264,0,0,1504,376594,1712052,
%U 2674500,1712052,376594,1504,0,0,7936,2523328,15351085,34315385,34315385
%N T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
%C Table starts
%C .0.....0........0..........0............0..............0...............0
%C .0.....0........0..........0............4.............40.............264
%C .0.....0........2........403.........5432..........50383..........376594
%C .0.....0......403......11886.......165152........1712052........15351085
%C .0.....4.....5432.....165152......2674500.......34315385.......387076338
%C .0....40....50383....1712052.....34315385......554477876......7883014615
%C .0...264...376594...15351085....387076338.....7883014615....140913280266
%C .0..1504..2523328..126810474...4014050010...103248064080...2326415367317
%C .0..7936.15678950..989755263..39317379331..1277923264206..36332244115510
%C .0.39744.92540669.7421134282.369759902284.15187234735252.545100865508798
%H R. H. Hardin, <a href="/A283666/b283666.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: [order 9]
%F k=3: [order 30] for n>34
%F k=4: [order 84] for n>94
%e Some solutions for n=4 k=4
%e ..0..1..0..1. .0..0..1..0. .0..0..0..0. .0..1..0..1. .0..1..1..0
%e ..1..1..0..0. .0..0..1..1. .1..1..0..0. .0..1..0..0. .0..1..0..1
%e ..0..1..0..0. .1..1..1..0. .0..0..1..0. .0..1..0..0. .1..1..1..0
%e ..1..1..1..0. .1..0..1..0. .0..0..1..1. .0..1..0..1. .1..0..1..0
%K nonn,tabl
%O 1,13
%A _R. H. Hardin_, Mar 13 2017
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