A183352 - OEIS

%I #5 Mar 31 2012 12:35:50

%S 1,1,1,1,7,1,1,9,9,1,1,17,16,17,1,1,33,25,25,33,1,1,59,64,63,64,59,1,

%T 1,109,144,163,163,144,109,1,1,201,289,387,594,387,289,201,1,1,369,

%U 625,943,1738,1738,943,625,369,1,1,679,1369,2289,5121,6388,5121,2289,1369,679,1

%N T(n,k)=Number of nXk binary arrays with each 1 adjacent to exactly one 0 vertically and one 0 horizontally

%C Table starts

%C .1...1....1.....1......1.......1.......1........1.........1..........1

%C .1...7....9....17.....33......59.....109......201.......369........679

%C .1...9...16....25.....64.....144.....289......625......1369.......2916

%C .1..17...25....63....163.....387.....943.....2289......5561......13529

%C .1..33...64...163....594....1738....5121....15789.....47687.....143778

%C .1..59..144...387...1738....6388...21613....80265....293909....1054102

%C .1.109..289...943...5121...21613...88177...387783...1670453....7119039

%C .1.201..625..2289..15789...80265..387783..2078075..10788813...55225541

%C .1.369.1369..5561..47687..293909.1670453.10788813..67448514..412320121

%C .1.679.2916.13529.143778.1054102.7119039.55225541.412320121.3011210310

%H R. H. Hardin, <a href="/A183352/b183352.txt">Table of n, a(n) for n = 1..798</a>

%e Some solutions for 6X5

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

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

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

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Jan 04 2011