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%I #4 Mar 12 2017 14:33:15
%S 0,0,0,0,0,0,1,0,6,0,2,36,37,28,0,5,88,639,388,142,0,13,516,2875,7742,
%T 3729,606,0,29,2076,21963,61592,85469,28828,2458,0,65,7372,127635,
%U 700534,1185010,856710,203025,9520,0,143,27108,693783,6345928,19517898,20051838
%N T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements.
%C Table starts
%C .0......0........0..........1............2...............5................13
%C .0......0........0.........36...........88.............516..............2076
%C .0......6.......37........639.........2875...........21963............127635
%C .0.....28......388.......7742........61592..........700534...........6345928
%C .0....142.....3729......85469......1185010........19517898.........272974255
%C .0....606....28828.....856710.....20051838.......490925804.......10666178322
%C .0...2458...203025....8209582....317384829.....11651389723......392539665568
%C .0...9520..1325980...75625580...4754748994....264077146748....13797245749346
%C .0..35678..8216341..677582140..68462751532...5787991095939...468742166961530
%C .0.130398.48912768.5935472812.955500406758.123521985310158.15502521715119538
%H R. H. Hardin, <a href="/A283634/b283634.txt">Table of n, a(n) for n = 1..199</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: [order 12]
%F k=3: [order 18]
%F k=4: [order 24]
%F k=5: [order 63]
%F k=6: [order 81]
%F Empirical for row n:
%F n=1: a(n) = 3*a(n-1) -2*a(n-3) -6*a(n-4) +4*a(n-6) +6*a(n-7) +3*a(n-8) +a(n-9)
%F n=2: [order 9]
%F n=3: [order 18]
%F n=4: [order 24] for n>26
%F n=5: [order 63]
%F n=6: [order 96]
%e Some solutions for n=4 k=4
%e ..0..0..0..1. .0..0..0..0. .0..0..0..1. .0..1..1..0. .0..1..1..1
%e ..1..1..0..1. .1..0..0..1. .0..1..0..0. .1..0..1..0. .0..0..0..0
%e ..1..0..1..1. .1..1..1..1. .0..1..0..1. .0..0..0..1. .0..1..1..1
%e ..0..0..0..0. .0..0..0..1. .1..0..1..0. .0..1..0..0. .0..0..0..0
%Y Column 2 is A283094.
%Y Row 1 is A282831.
%K nonn,tabl
%O 1,9
%A _R. H. Hardin_, Mar 12 2017
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