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A208164 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

%I A208164 #7 Jul 22 2025 21:12:47
%S A208164 2,4,4,6,16,6,9,36,36,9,13,81,102,81,14,19,169,281,287,196,21,28,361,
%T A208164 699,981,882,441,31,41,784,1799,2920,3893,2491,961,46,60,1681,4706,
%U A208164 9039,14446,13825,6759,2116,68,88,3600,12161,28681,55576,63031,46611,18528
%N A208164 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.
%C A208164 Table starts
%C A208164 ..2....4.....6......9......13......19.......28........41.........60..........88
%C A208164 ..4...16....36.....81.....169.....361......784......1681.......3600........7744
%C A208164 ..6...36...102....281.....699....1799.....4706.....12161......31356.......81206
%C A208164 ..9...81...287....981....2920....9039....28681.....89623.....278652......872602
%C A208164 .14..196...882...3893...14446...55576...222487....873641....3397748....13352522
%C A208164 .21..441..2491..13825...63031..297702..1474641...7151473...34264481...166182659
%C A208164 .31..961..6759..46611..258952.1493661..9072707..53874293..315713411..1874906825
%C A208164 .46.2116.18528.159545.1088966.7719181.57903614.424153857.3061342878.22414028568
%H A208164 R. H. Hardin, <a href="/A208164/b208164.txt">Table of n, a(n) for n = 1..544</a>
%e A208164 Some solutions for n=4 k=3
%e A208164 ..0..1..1....0..0..1....0..0..1....1..0..0....1..0..0....1..1..0....0..0..1
%e A208164 ..0..0..1....1..0..0....0..0..1....0..0..1....1..0..0....1..0..0....0..1..1
%e A208164 ..0..1..0....1..0..0....0..0..1....0..0..1....1..0..0....1..1..0....0..1..0
%e A208164 ..0..1..0....1..0..0....0..0..1....0..0..1....1..0..0....0..1..0....0..1..0
%Y A208164 Column 1 is A038718(n+2)
%Y A208164 Column 2 is A207069
%Y A208164 Column 3 is A207237
%Y A208164 Row 1 is A000930(n+3)
%Y A208164 Row 2 is A207170
%Y A208164 Row 3 is A207961
%K A208164 nonn,tabl
%O A208164 1,1
%A A208164 _R. H. Hardin_ Feb 24 2012