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A207564 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

%I A207564 #7 Jul 22 2025 20:35:23
%S A207564 2,4,4,6,16,6,9,36,36,9,14,81,92,81,14,21,196,241,221,196,22,31,441,
%T A207564 720,636,618,484,35,46,961,1889,2234,2135,1690,1225,56,68,2116,4719,
%U A207564 6315,9568,6709,4861,3136,90,100,4624,12102,16812,32823,36426,23276,13900
%N A207564 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.
%C A207564 Table starts
%C A207564 ..2....4.....6.....9.....14......21.......31........46........68........100
%C A207564 ..4...16....36....81....196.....441......961......2116......4624......10000
%C A207564 ..6...36....92...241....720....1889.....4719.....12102.....30414......74588
%C A207564 ..9...81...221...636...2234....6315....16812.....47596....129150.....337186
%C A207564 .14..196...618..2135...9568...32823...106833....378104...1270366....4115246
%C A207564 .22..484..1690..6709..36426..138017...493471...1980774...7259428...25276248
%C A207564 .35.1225..4861.23276.160652..738515..3275898..16648464..77299468..346860730
%C A207564 .56.3136.13900.78733.666212.3451393.17232331.100565794.513390118.2498101416
%H A207564 R. H. Hardin, <a href="/A207564/b207564.txt">Table of n, a(n) for n = 1..511</a>
%e A207564 Some solutions for n=4 k=3
%e A207564 ..1..0..1....1..0..1....1..1..0....1..0..0....0..1..1....1..1..1....0..0..0
%e A207564 ..1..0..1....0..1..1....0..0..0....0..0..0....1..1..1....1..1..1....1..1..1
%e A207564 ..1..0..1....1..0..1....1..0..1....1..0..1....0..1..1....1..1..1....0..0..0
%e A207564 ..1..1..1....0..1..1....0..0..0....0..0..0....1..1..1....1..1..1....0..0..0
%Y A207564 Column 1 is A001611(n+2)
%Y A207564 Column 2 is A207436
%Y A207564 Row 1 is A038718(n+2)
%Y A207564 Row 2 is A207069
%Y A207564 Row 3 is A207414
%K A207564 nonn,tabl
%O A207564 1,1
%A A207564 _R. H. Hardin_ Feb 18 2012