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A208698 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

%I A208698 #7 Jul 22 2025 21:28:29
%S A208698 2,4,4,6,16,6,9,36,36,10,14,81,98,100,16,22,196,271,358,256,26,35,484,
%T A208698 844,1309,1152,676,42,56,1225,2706,5524,5371,3910,1764,68,90,3136,
%U A208698 8977,24086,30160,23637,12994,4624,110,145,8100,30168,109599,177488,177872
%N A208698 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.
%C A208698 Table starts
%C A208698 ..2....4.....6......9......14.......22.........35..........56...........90
%C A208698 ..4...16....36.....81.....196......484.......1225........3136.........8100
%C A208698 ..6...36....98....271.....844.....2706.......8977.......30168.......102384
%C A208698 .10..100...358...1309....5524....24086.....109599......506870......2376964
%C A208698 .16..256..1152...5371...30160...177488....1103081.....6990922.....45002090
%C A208698 .26..676..3910..23637..177872..1415508...12014735...104356568....923279444
%C A208698 .42.1764.12994.101069.1016258.10934750..126827983..1510509752..18362140414
%C A208698 .68.4624.43596.438103.5893862.85697362.1356513169.22125222702.369223577680
%H A208698 R. H. Hardin, <a href="/A208698/b208698.txt">Table of n, a(n) for n = 1..418</a>
%e A208698 Some solutions for n=4 k=3
%e A208698 ..0..1..0....0..0..0....1..0..1....0..0..0....1..1..0....1..1..1....0..0..0
%e A208698 ..0..0..0....0..0..0....0..0..0....0..1..1....0..0..0....1..1..1....0..0..0
%e A208698 ..1..0..1....1..0..1....0..0..0....0..1..1....0..0..0....0..1..0....1..1..0
%e A208698 ..1..0..1....1..0..1....0..1..1....0..1..0....0..1..1....0..1..0....1..1..0
%Y A208698 Column 1 is A006355(n+2)
%Y A208698 Column 2 is A206981
%Y A208698 Column 3 is A207462
%Y A208698 Column 4 is A207914
%Y A208698 Row 1 is A001611(n+2)
%Y A208698 Row 2 is A207436
%Y A208698 Row 3 is A207939
%K A208698 nonn,tabl
%O A208698 1,1
%A A208698 _R. H. Hardin_ Mar 01 2012