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A207703 T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.

%I A207703 #7 Feb 08 2022 12:09:52
%S A207703 2,4,4,6,16,6,9,36,36,8,15,81,102,64,10,25,225,289,216,100,12,40,625,
%T A207703 1071,729,390,144,14,64,1600,3969,3321,1521,636,196,16,104,4096,13230,
%U A207703 15129,8151,2809,966,256,18,169,10816,44100,61254,43681,17225,4761,1392
%N A207703 T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.
%C A207703 Table starts
%C A207703 ..2...4....6....9....15.....25......40.......64.......104.......169........273
%C A207703 ..4..16...36...81...225....625....1600.....4096.....10816.....28561......74529
%C A207703 ..6..36..102..289..1071...3969...13230....44100....153090....531441....1815939
%C A207703 ..8..64..216..729..3321..15129...61254...248004...1050282...4447881...18510693
%C A207703 .10.100..390.1521..8151..43681..206910...980100...4863870..24137569..117661437
%C A207703 .12.144..636.2809.17225.105625..571350..3090564..17518470..99301225..552967815
%C A207703 .14.196..966.4761.32775.225625.1369900..8317456..52895444.336392281.2102483853
%C A207703 .16.256.1392.7569.57681.439569.2956980.19891600.140048460.986022801.6826106385
%H A207703 R. H. Hardin, <a href="/A207703/b207703.txt">Table of n, a(n) for n = 1..650</a>
%e A207703 Some solutions for n=4, k=3
%e A207703 ..1..0..0....1..1..0....0..1..1....0..0..1....1..1..1....1..0..0....1..1..0
%e A207703 ..0..0..1....0..0..1....1..1..0....1..0..0....1..1..1....1..0..1....1..0..1
%e A207703 ..1..0..1....1..1..1....1..1..1....0..0..1....1..1..1....1..0..1....1..0..0
%e A207703 ..0..0..1....1..0..1....1..1..1....0..0..1....1..1..1....1..0..1....1..0..1
%Y A207703 Column 2 is A016742.
%Y A207703 Column 3 is A086113.
%Y A207703 Column 4 is A207399.
%Y A207703 Row 1 is A006498(n+2).
%Y A207703 Row 2 is A189145(n+2).
%K A207703 nonn,tabl
%O A207703 1,1
%A A207703 _R. H. Hardin_, Feb 19 2012