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A207879 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

%I A207879 #7 Jul 22 2025 20:55:05
%S A207879 2,4,4,6,16,6,9,36,36,9,13,81,72,81,13,19,169,164,164,169,19,28,361,
%T A207879 336,400,336,361,28,41,784,702,824,824,702,784,41,60,1681,1488,1940,
%U A207879 1648,1940,1488,1681,60,88,3600,3164,4200,4160,4160,4200,3164,3600,88,129
%N A207879 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.
%C A207879 Table starts
%C A207879 ..2....4....6....9....13....19.....28.....41.....60......88.....129......189
%C A207879 ..4...16...36...81...169...361....784...1681...3600....7744...16641....35721
%C A207879 ..6...36...72..164...336...702...1488...3164...6612...13916...29532....62032
%C A207879 ..9...81..164..400...824..1940...4200...9276..21004...46026..102674...228630
%C A207879 .13..169..336..824..1648..4160...8892..19710..44868..100056..224792...497348
%C A207879 .19..361..702.1940..4160.10742..24952..61530.143916..341856..844144..1976858
%C A207879 .28..784.1488.4200..8892.24952..51696.136490.313524..741944.1781472..4256398
%C A207879 .41.1681.3164.9276.19710.61530.136490.380632.932930.2455492.6227022.15894853
%H A207879 R. H. Hardin, <a href="/A207879/b207879.txt">Table of n, a(n) for n = 1..760</a>
%e A207879 Some solutions for n=4 k=3
%e A207879 ..0..0..1....0..1..1....1..0..0....1..0..0....1..1..1....1..0..0....1..1..1
%e A207879 ..0..0..1....0..0..1....0..1..0....1..0..0....0..1..1....1..1..0....0..0..1
%e A207879 ..1..0..0....1..0..0....1..1..0....0..1..1....1..0..0....0..1..0....1..0..0
%e A207879 ..1..0..0....1..1..1....1..0..0....1..1..1....1..1..1....0..0..1....1..0..0
%Y A207879 Column 1 is A000930(n+3)
%Y A207879 Column 2 is A207170
%Y A207879 Column 3 is A207683
%K A207879 nonn,tabl
%O A207879 1,1
%A A207879 _R. H. Hardin_ Feb 21 2012