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A207589 T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically.

%I A207589 #7 Aug 23 2022 14:44:31
%S A207589 2,4,4,6,16,6,10,36,36,9,16,100,60,81,13,26,256,144,144,169,18,42,676,
%T A207589 324,432,312,324,25,68,1764,756,1098,1014,612,625,34,110,4624,1728,
%U A207589 3150,3094,2232,1250,1156,46,178,12100,3996,8244,9698,7272,5000,2516,2116,62
%N A207589 T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically.
%C A207589 Table starts
%C A207589 ..2....4....6....10....16.....26.....42......68......110......178.......288
%C A207589 ..4...16...36...100...256....676...1764....4624....12100....31684.....82944
%C A207589 ..6...36...60...144...324....756...1728....3996.....9180....21168.....48708
%C A207589 ..9...81..144...432..1098...3150...8244...23202....61560...171468....458640
%C A207589 .13..169..312..1014..3094...9698..30056...93782...291304...908102...2822456
%C A207589 .18..324..612..2232..7272..25776..85536..300096..1004364..3501756..11782620
%C A207589 .25..625.1250..5000.18150..70800.263550.1018700..3824100.14714500..55475900
%C A207589 .34.1156.2516.11220.46716.204476.876860.3832616.16578128.72435844.314466680
%H A207589 R. H. Hardin, <a href="/A207589/b207589.txt">Table of n, a(n) for n = 1..971</a>
%e A207589 Some solutions for n=4, k=3
%e A207589 ..0..1..1....1..0..0....1..0..1....1..1..1....1..0..1....0..1..0....1..0..0
%e A207589 ..1..0..1....0..1..1....0..1..1....0..1..0....0..1..0....1..0..0....1..1..1
%e A207589 ..0..1..0....1..1..0....1..0..0....1..0..0....1..0..1....0..1..0....0..1..1
%e A207589 ..1..1..1....1..0..0....1..0..1....0..1..0....1..1..0....1..0..0....1..0..0
%Y A207589 Column 1 is A171861(n+1).
%Y A207589 Column 2 is A207025.
%Y A207589 Row 1 is A006355(n+2).
%Y A207589 Row 2 is A206981.
%K A207589 nonn,tabl
%O A207589 1,1
%A A207589 _R. H. Hardin_, Feb 19 2012