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%I #4 Mar 15 2017 08:03:21
%S 0,0,0,0,0,0,0,10,6,0,0,60,159,36,0,0,242,1088,1304,176,0,0,1032,7839,
%T 15228,9819,824,0,0,4220,56106,185564,196548,69972,3668,0,0,16376,
%U 369328,2258212,4096541,2391696,478164,15808,0,0,62564,2391828,25260000
%N T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.
%C Table starts
%C .0.....0........0..........0............0...............0.................0
%C .0.....0.......10.........60..........242............1032..............4220
%C .0.....6......159.......1088.........7839...........56106............369328
%C .0....36.....1304......15228.......185564.........2258212..........25260000
%C .0...176.....9819.....196548......4096541........83987692........1590274565
%C .0...824....69972....2391696.....85216204......2938694472.......94357463834
%C .0..3668...478164...28103560...1712274593.....99246546144.....5410290101514
%C .0.15808..3182364..322050940..33562500568...3267618010712...302490564406270
%C .0.66640.20764075.3622197748.645693322870.105565418525004.16600142770401845
%H R. H. Hardin, <a href="/A283726/b283726.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: [order 10]
%F k=3: [order 20]
%F k=4: [order 28]
%F k=5: [order 80]
%F Empirical for row n:
%F n=1: a(n) = a(n-1)
%F n=2: [order 10]
%F n=3: [order 22]
%F n=4: [order 46]
%e Some solutions for n=4 k=4
%e ..0..0..0..0. .1..0..1..1. .0..1..0..1. .0..0..1..0. .1..0..1..0
%e ..1..1..0..0. .1..0..0..0. .1..1..0..0. .0..1..0..0. .1..1..0..1
%e ..1..0..1..1. .0..0..1..1. .1..0..0..1. .1..1..0..0. .0..1..0..0
%e ..1..0..1..0. .1..1..1..0. .0..1..1..1. .0..1..0..1. .0..0..1..0
%Y Column 2 is A283197.
%K nonn,tabl
%O 1,8
%A _R. H. Hardin_, Mar 15 2017
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