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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
12

%I #5 Mar 31 2012 12:37:17

%S 2,4,4,6,16,6,9,36,36,9,15,81,114,81,14,25,225,361,351,196,21,40,625,

%T 1425,1521,1162,441,31,64,1600,5625,8463,6889,3633,961,46,104,4096,

%U 20550,47089,55361,29929,11067,2116,68,169,10816,75076,241087,444889,341329

%N 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 Table starts

%C ..2....4.....6......9.......15........25.........40...........64...........104

%C ..4...16....36.....81......225.......625.......1600.........4096.........10816

%C ..6...36...114....361.....1425......5625......20550........75076........282494

%C ..9...81...351...1521.....8463.....47089.....241087......1234321.......6520459

%C .14..196..1162...6889....55361....444889....3210938.....23174596.....174570082

%C .21..441..3633..29929...341329...3892729...39698733....404854641....4315250265

%C .31..961.11067.127449..2048823..32936121..474552171...6837470721..102807481767

%C .46.2116.33994.546121.12436631.283215241.5755114104.116947584576.2485504480392

%H R. H. Hardin, <a href="/A207426/b207426.txt">Table of n, a(n) for n = 1..365</a>

%e Some solutions for n=4 k=3

%e ..0..1..1....1..1..0....0..1..1....1..1..0....1..0..0....0..1..1....1..1..1

%e ..1..1..0....0..0..1....0..1..1....1..0..1....0..0..1....1..0..0....1..1..1

%e ..1..1..1....0..1..1....0..1..1....1..0..1....1..0..1....1..0..1....1..1..1

%e ..1..0..1....0..1..1....0..1..1....0..0..1....1..0..0....1..0..1....1..1..1

%Y Column 1 is A038718(n+2)

%Y Column 2 is A207069

%Y Row 1 is A006498(n+2)

%Y Row 2 is A189145(n+2)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 17 2012