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A189161 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally.

%I A189161 #7 Jul 22 2025 11:35:23
%S A189161 2,4,4,8,16,8,15,64,64,15,28,225,512,225,28,52,784,3375,3375,784,52,
%T A189161 96,2704,21952,37976,21952,2704,96,177,9216,140608,424401,424401,
%U A189161 140608,9216,177,326,31329,884736,4597967,8210464,4597967,884736,31329,326,600
%N A189161 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally.
%C A189161 Table starts
%C A189161 ...2......4.........8..........15.............28...............52
%C A189161 ...4.....16........64.........225............784.............2704
%C A189161 ...8.....64.......512........3375..........21952...........140608
%C A189161 ..15....225......3375.......37976.........424401..........4597967
%C A189161 ..28....784.....21952......424401........8210464........151889331
%C A189161 ..52...2704....140608.....4597967......151889331.......4708773306
%C A189161 ..96...9216....884736....48460966.....2710884810.....139543984265
%C A189161 .177..31329...5545233...507947896....48083827685....4101554902927
%C A189161 .326.106276..34645976..5289780940...844714479714..118889716429242
%C A189161 .600.360000.216000000.54890361712.14772128520081.3425594682105277
%H A189161 R. H. Hardin, <a href="/A189161/b189161.txt">Table of n, a(n) for n = 1..219</a>
%e A189161 Some solutions for 6X4
%e A189161 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A189161 ..1..0..1..0....1..0..1..0....1..0..0..0....0..1..1..1....1..0..1..0
%e A189161 ..1..0..1..0....1..0..1..0....0..1..0..1....0..0..1..0....0..0..0..0
%e A189161 ..1..0..0..0....0..1..1..0....1..0..1..0....0..1..0..0....1..0..0..1
%e A189161 ..0..0..1..0....0..0..1..0....0..0..0..0....0..0..1..0....0..1..0..0
%e A189161 ..1..1..0..1....0..1..0..1....0..0..0..0....0..0..0..0....1..0..1..0
%Y A189161 Column 1 is A008937(n+1)
%Y A189161 Column 2 is column 1 squared
%Y A189161 Column 3 is column 1 cubed
%K A189161 nonn,tabl
%O A189161 1,1
%A A189161 _R. H. Hardin_ Apr 17 2011