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A207426 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

%I A207426 #7 Jul 22 2025 20:25:09
%S A207426 2,4,4,6,16,6,9,36,36,9,15,81,114,81,14,25,225,361,351,196,21,40,625,
%T A207426 1425,1521,1162,441,31,64,1600,5625,8463,6889,3633,961,46,104,4096,
%U A207426 20550,47089,55361,29929,11067,2116,68,169,10816,75076,241087,444889,341329
%N A207426 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.
%C A207426 Table starts
%C A207426 ..2....4.....6......9.......15........25.........40...........64...........104
%C A207426 ..4...16....36.....81......225.......625.......1600.........4096.........10816
%C A207426 ..6...36...114....361.....1425......5625......20550........75076........282494
%C A207426 ..9...81...351...1521.....8463.....47089.....241087......1234321.......6520459
%C A207426 .14..196..1162...6889....55361....444889....3210938.....23174596.....174570082
%C A207426 .21..441..3633..29929...341329...3892729...39698733....404854641....4315250265
%C A207426 .31..961.11067.127449..2048823..32936121..474552171...6837470721..102807481767
%C A207426 .46.2116.33994.546121.12436631.283215241.5755114104.116947584576.2485504480392
%H A207426 R. H. Hardin, <a href="/A207426/b207426.txt">Table of n, a(n) for n = 1..365</a>
%e A207426 Some solutions for n=4 k=3
%e A207426 ..0..1..1....1..1..0....0..1..1....1..1..0....1..0..0....0..1..1....1..1..1
%e A207426 ..1..1..0....0..0..1....0..1..1....1..0..1....0..0..1....1..0..0....1..1..1
%e A207426 ..1..1..1....0..1..1....0..1..1....1..0..1....1..0..1....1..0..1....1..1..1
%e A207426 ..1..0..1....0..1..1....0..1..1....0..0..1....1..0..0....1..0..1....1..1..1
%Y A207426 Column 1 is A038718(n+2)
%Y A207426 Column 2 is A207069
%Y A207426 Row 1 is A006498(n+2)
%Y A207426 Row 2 is A189145(n+2)
%K A207426 nonn,tabl
%O A207426 1,1
%A A207426 _R. H. Hardin_ Feb 17 2012