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A208039 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 0 1 vertically.

%I A208039 #9 Jul 22 2025 21:08:08
%S A208039 2,4,4,6,16,6,9,36,36,9,15,81,102,81,13,25,225,289,279,169,19,40,625,
%T A208039 1071,961,741,361,28,64,1600,3969,4743,3249,1995,784,41,104,4096,
%U A208039 13230,23409,21147,11025,5404,1681,60,169,10816,44100,100215,137641,94605
%N A208039 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 0 1 vertically.
%C A208039 Table starts
%C A208039 ..2....4.....6......9......15.......25........40.........64.........104
%C A208039 ..4...16....36.....81.....225......625......1600.......4096.......10816
%C A208039 ..6...36...102....289....1071.....3969.....13230......44100......153090
%C A208039 ..9...81...279....961....4743....23409....100215.....429025.....1942075
%C A208039 .13..169...741...3249...21147...137641....766115....4264225....25232235
%C A208039 .19..361..1995..11025...94605...811801...5866411...42393121...327288437
%C A208039 .28..784..5404..37249..422477..4791721..44918280..421070400..4242161160
%C A208039 .41.1681.14555.126025.1889665.28334329.344414069.4186478209.55078752265
%H A208039 R. H. Hardin, <a href="/A208039/b208039.txt">Table of n, a(n) for n = 1..450</a>
%e A208039 Some solutions for n=4 k=3
%e A208039 ..0..1..1....0..1..1....1..0..0....1..1..0....1..1..1....1..1..0....1..1..0
%e A208039 ..1..0..0....1..1..1....0..0..1....1..0..1....1..1..1....0..1..1....1..0..1
%e A208039 ..1..0..0....1..0..1....0..1..1....1..0..0....1..1..1....0..0..1....0..0..1
%e A208039 ..0..1..1....0..0..1....1..1..1....1..1..0....1..1..1....1..0..1....0..1..1
%Y A208039 Column 1 is A000930(n+3)
%Y A208039 Column 2 is A207170
%Y A208039 Column 3 is A208023
%Y A208039 Column 4 is A141583(n+3) for n>1
%Y A208039 Row 1 is A006498(n+2)
%Y A208039 Row 2 is A189145(n+2)
%Y A208039 Row 3 is A207704
%K A208039 nonn,tabl
%O A208039 1,1
%A A208039 _R. H. Hardin_ Feb 22 2012