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%I #7 Sep 08 2022 13:13:49
%S 1,1,1,1,3,1,1,9,9,1,1,22,84,22,1,1,63,543,543,63,1,1,209,3748,8837,
%T 3748,209,1,1,686,29677,143936,143936,29677,686,1,1,2228,237999,
%U 2527020,5660631,2527020,237999,2228,1,1,7365,1882149,44974778,231588325
%N T(n,k) = Number of n X k 0..2 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.
%C Table starts
%C .1....1.......1.........1............1...............1.................1
%C .1....3.......9........22...........63.............209...............686
%C .1....9......84.......543.........3748...........29677............237999
%C .1...22.....543......8837.......143936.........2527020..........44974778
%C .1...63....3748....143936......5660631.......231588325........9441977403
%C .1..209...29677...2527020....231588325.....22078482448.....2078403848722
%C .1..686..237999..44974778...9441977403...2078403848722...449985495293440
%C .1.2228.1882149.799146435.385259518988.195550611728699.97229907706009899
%H R. H. Hardin, <a href="/A203460/b203460.txt">Table of n, a(n) for n = 1..144</a>
%e Some solutions for n=5, k=3
%e ..0..1..1....1..2..2....0..2..2....2..2..1....0..2..2....1..2..2....0..2..2
%e ..0..1..1....2..2..2....2..2..2....2..2..1....0..2..2....1..2..2....2..2..2
%e ..1..1..1....2..1..1....2..1..0....0..2..1....1..1..0....2..2..1....2..1..1
%e ..1..2..2....2..2..0....2..2..1....2..2..2....2..2..2....2..2..2....2..2..1
%e ..1..2..2....2..2..0....2..2..1....2..2..2....2..2..2....1..2..2....2..2..0
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Jan 02 2012
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