A223012 - OEIS

%I #4 Mar 11 2013 13:44:52

%S 1,1,2,1,4,4,4,7,10,8,5,18,24,34,16,10,41,117,169,101,32,12,119,284,

%T 840,557,331,64,34,295,1673,4685,6240,4108,1044,128,43,825,4429,27159,

%U 35471,47139,14040,3406,256,101,2060,26552,162547,464809,608759,360347,104533

%N T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order

%C Table starts

%C ....1......1........1...........4.............5..............10

%C ....2......4........7..........18............41.............119

%C ....4.....10.......24.........117...........284............1673

%C ....8.....34......169.........840..........4685...........27159

%C ...16....101......557........6240.........35471..........464809

%C ...32....331.....4108.......47139........608759.........8156595

%C ...64...1044....14040......360347.......4804753.......145478406

%C ..128...3406...104533.....2779528......84081394......2624457265

%C ..256..11008...365722....21588898.....677026335.....47747212459

%C ..512..36039..2734747...168613534...11978593094....874312963817

%C .1024.117866..9710957..1322868729...97641043662..16092329823905

%C .2048.387709.72847186.10417760419.1740042991754.297437626371301

%H R. H. Hardin, <a href="/A223012/b223012.txt">Table of n, a(n) for n = 1..239</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A000079(n-1)

%Y Row 1 is A222353

%K nonn,tabl

%O 1,3

%A _R. H. Hardin_ Mar 11 2013