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A208501 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

%I A208501 #7 Jul 22 2025 21:24:11
%S A208501 2,4,4,6,16,6,10,36,36,9,16,100,60,81,13,26,256,144,126,169,19,42,676,
%T A208501 324,324,234,361,28,68,1764,756,828,650,456,784,41,110,4624,1728,2124,
%U A208501 1794,1406,896,1681,60,178,12100,3996,5436,4992,4104,3024,1722,3600,88
%N A208501 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically.
%C A208501 Table starts
%C A208501 ..2....4....6...10....16....26.....42......68.....110......178......288
%C A208501 ..4...16...36..100...256...676...1764....4624...12100....31684....82944
%C A208501 ..6...36...60..144...324...756...1728....3996....9180....21168....48708
%C A208501 ..9...81..126..324...828..2124...5436...13932...35676....91404...234108
%C A208501 .13..169..234..650..1794..4992..13806...38376..106236...295074...817362
%C A208501 .19..361..456.1406..4104.12654..37430..114494..341012..1037552..3103650
%C A208501 .28..784..896.3024..9912.33488.111328..374416.1249472..4192384.14013664
%C A208501 .41.1681.1722.6150.21976.79376.286754.1037300.3752320.13577396.49125954
%H A208501 R. H. Hardin, <a href="/A208501/b208501.txt">Table of n, a(n) for n = 1..1253</a>
%e A208501 Some solutions for n=4 k=3
%e A208501 ..1..0..0....0..1..1....0..1..0....1..0..0....0..1..0....1..1..0....1..0..1
%e A208501 ..1..0..0....1..0..0....1..1..0....0..1..0....0..1..1....1..0..0....1..1..1
%e A208501 ..0..1..0....1..1..0....1..0..1....1..1..0....1..0..1....0..1..1....0..1..0
%e A208501 ..1..1..0....0..1..1....0..1..1....1..0..0....1..1..0....0..1..1....1..0..1
%Y A208501 Column 1 is A000930(n+3)
%Y A208501 Column 2 is A207170
%Y A208501 Row 1 is A006355(n+2)
%Y A208501 Row 2 is A206981
%Y A208501 Row 3 is A207590
%K A208501 nonn,tabl
%O A208501 1,1
%A A208501 _R. H. Hardin_ Feb 27 2012