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A207918 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically.

%I A207918 #7 Jul 22 2025 20:59:48
%S A207918 2,4,4,6,16,6,9,36,36,10,13,81,98,100,16,19,169,271,358,256,26,28,361,
%T A207918 665,1309,1152,676,42,41,784,1675,4181,5371,3910,1764,68,60,1681,4344,
%U A207918 13759,21145,23637,12994,4624,110,88,3600,11081,46800,86255,117835
%N A207918 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically.
%C A207918 Table starts
%C A207918 ..2....4.....6......9......13.......19........28.........41..........60
%C A207918 ..4...16....36.....81.....169......361.......784.......1681........3600
%C A207918 ..6...36....98....271.....665.....1675......4344......11081.......28136
%C A207918 .10..100...358...1309....4181....13759.....46800.....156135......518564
%C A207918 .16..256..1152...5371...21145....86255....366330....1520815.....6276388
%C A207918 .26..676..3910..23637..117835...612439...3327954...17621905....92785236
%C A207918 .42.1764.12994.101069..628945..4105063..28188778..187980955..1245595210
%C A207918 .68.4624.43596.438103.3426491.28280693.247024548.2088382007.17532981294
%H A207918 R. H. Hardin, <a href="/A207918/b207918.txt">Table of n, a(n) for n = 1..418</a>
%e A207918 Some solutions for n=4 k=3
%e A207918 ..1..1..1....1..1..0....0..0..1....1..1..0....1..1..1....0..0..1....0..0..1
%e A207918 ..1..1..1....0..0..1....0..0..1....1..0..0....1..1..1....0..1..1....1..0..0
%e A207918 ..0..1..0....0..0..1....0..0..1....1..0..0....1..1..1....0..1..0....1..1..0
%e A207918 ..0..1..0....1..0..0....1..1..1....0..1..1....1..1..1....0..1..0....0..1..1
%Y A207918 Column 1 is A006355(n+2)
%Y A207918 Column 2 is A206981
%Y A207918 Column 3 is A207462
%Y A207918 Row 1 is A000930(n+3)
%Y A207918 Row 2 is A207170
%Y A207918 Row 3 is A207306
%K A207918 nonn,tabl
%O A207918 1,1
%A A207918 _R. H. Hardin_ Feb 21 2012