A198209 - OEIS

%I #5 Mar 31 2012 12:36:34

%S 4,43,43,658,1765,658,11029,50729,50729,11029,189376,1660672,3603458,

%T 1660672,189376,3272959,56315642,276030525,276030525,56315642,3272959,

%U 56665678,1930887802,21989253467,51432469614,21989253467,1930887802

%N T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors

%C Table starts

%C .........4..........43...........658..........11029.........189376

%C ........43........1765.........50729........1660672.......56315642

%C .......658.......50729.......3603458......276030525....21989253467

%C .....11029.....1660672.....276030525....51432469614.10120087499636

%C ....189376....56315642...21989253467.10120087499636

%C ...3272959..1930887802.1791994477631

%C ..56665678.66941645630

%C .981535273

%H R. H. Hardin, <a href="/A198209/b198209.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for n=5 k=3

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

%e ..2..1..1..1..1..2....2..1..1..1..1..2....2..1..1..1..1..2....2..1..1..1..1..2

%e ..2..0..0..0..0..2....2..0..0..0..0..2....2..0..0..0..0..2....2..0..0..0..0..2

%e ..0..0..1..1..0..1....0..0..1..1..0..1....0..0..2..2..0..1....0..0..3..3..0..0

%e ..3..3..1..1..0..1....2..2..1..1..0..1....1..1..2..2..0..1....1..1..3..3..1..1

%e ..0..3..0..0..0..2....3..2..2..2..0..0....3..1..3..3..0..0....2..1..0..0..1..0

%e ..0..3..0..1..1..2....3..0..0..2..2..2....3..1..3..3..1..1....2..1..0..0..1..0

%e ..3..3..0..1..1..3....2..0..0..1..1..1....1..1..2..2..1..0....1..1..3..3..1..1

%e ..1..1..0..0..0..3....2..1..1..1..2..2....0..0..2..2..1..0....0..0..3..3..0..0

%e ..0..1..3..3..0..1....0..1..0..0..2..3....2..0..3..3..1..2....2..0..2..2..0..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Oct 22 2011