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A209019 T(n,k)=Number of nXk 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.

%I A209019 #7 Jul 22 2025 21:35:14
%S A209019 4,12,12,36,130,36,108,1430,1430,108,324,15724,57412,15724,324,972,
%T A209019 172936,2303052,2303052,172936,972,2916,1901964,92409982,337083370,
%U A209019 92409982,1901964,2916,8748,20918008,3707858104,49349902246,49349902246
%N A209019 T(n,k)=Number of nXk 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.
%C A209019 Table starts
%C A209019 ....4........12............36................108....................324
%C A209019 ...12.......130..........1430..............15724.................172936
%C A209019 ...36......1430.........57412............2303052...............92409982
%C A209019 ..108.....15724.......2303052..........337083370............49349902246
%C A209019 ..324....172936......92409982........49349902246.........26361689168962
%C A209019 ..972...1901964....3707858104......7224768704460......14081479775124768
%C A209019 .2916..20918008..148774643618...1057701934285612....7521858792951566188
%C A209019 .8748.230058424.5969451726624.154846841369187254.4017924265572698697072
%H A209019 R. H. Hardin, <a href="/A209019/b209019.txt">Table of n, a(n) for n = 1..180</a>
%e A209019 Some solutions for n=4 k=3
%e A209019 ..3..1..2....1..3..0....0..2..0....1..2..0....0..1..3....3..2..3....0..1..0
%e A209019 ..1..3..3....2..1..3....3..0..0....3..3..3....2..3..1....0..2..3....3..2..2
%e A209019 ..3..1..3....0..2..0....2..1..1....0..0..0....1..3..0....3..0..1....1..3..1
%e A209019 ..1..3..3....1..2..0....0..2..1....2..1..3....2..0..0....2..3..2....2..3..2
%Y A209019 Column 1 is A003946
%K A209019 nonn,tabl
%O A209019 1,1
%A A209019 _R. H. Hardin_ Mar 04 2012