A207442 - OEIS

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

%S 2,4,4,6,16,6,9,36,36,9,14,81,108,81,14,21,196,323,333,196,22,31,441,

%T 1058,1360,1144,484,35,46,961,3223,6092,6525,4048,1225,56,68,2116,

%U 9515,25689,41092,32393,14743,3136,90,100,4624,28426,105690,243981,287176

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

%C Table starts

%C ..2....4.....6......9.......14........21.........31..........46............68

%C ..4...16....36.....81......196.......441........961........2116..........4624

%C ..6...36...108....323.....1058......3223.......9515.......28426.........84486

%C ..9...81...333...1360.....6092.....25689.....105690......439332.......1821924

%C .14..196..1144...6525....41092....243981....1414091.....8282682......48412066

%C .22..484..4048..32393...287176...2405923...19685415...162644898....1341574108

%C .35.1225.14743.165626..2078416..24609889..284247216..3316383098...38630942068

%C .56.3136.54250.855471.15205846.254583643.4151434555.68394049216.1125157869978

%H R. H. Hardin, <a href="/A207442/b207442.txt">Table of n, a(n) for n = 1..390</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A001611(n+2)

%Y Column 2 is Column 1 squared

%Y Row 1 is A038718(n+2)

%Y Row 2 is A207069

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 17 2012