A198209 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

4, 43, 43, 658, 1765, 658, 11029, 50729, 50729, 11029, 189376, 1660672, 3603458, 1660672, 189376, 3272959, 56315642, 276030525, 276030525, 56315642, 3272959, 56665678, 1930887802, 21989253467, 51432469614, 21989253467, 1930887802

Offset

1,1

Comments

Table starts

.........4..........43...........658..........11029.........189376

........43........1765.........50729........1660672.......56315642

.......658.......50729.......3603458......276030525....21989253467

.....11029.....1660672.....276030525....51432469614.10120087499636

....189376....56315642...21989253467.10120087499636

...3272959..1930887802.1791994477631

..56665678.66941645630

.981535273

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Example

Some solutions for n=5 k=3
..0..1..0..0..1..0....0..1..0..0..1..0....0..1..0..0..1..0....0..1..0..0..1..0
..2..1..1..1..1..2....2..1..1..1..1..2....2..1..1..1..1..2....2..1..1..1..1..2
..2..0..0..0..0..2....2..0..0..0..0..2....2..0..0..0..0..2....2..0..0..0..0..2
..0..0..1..1..0..1....0..0..1..1..0..1....0..0..2..2..0..1....0..0..3..3..0..0
..3..3..1..1..0..1....2..2..1..1..0..1....1..1..2..2..0..1....1..1..3..3..1..1
..0..3..0..0..0..2....3..2..2..2..0..0....3..1..3..3..0..0....2..1..0..0..1..0
..0..3..0..1..1..2....3..0..0..2..2..2....3..1..3..3..1..1....2..1..0..0..1..0
..3..3..0..1..1..3....2..0..0..1..1..1....1..1..2..2..1..0....1..1..3..3..1..1
..1..1..0..0..0..3....2..1..1..1..2..2....0..0..2..2..1..0....0..0..3..3..0..0
..0..1..3..3..0..1....0..1..0..0..2..3....2..0..3..3..1..2....2..0..2..2..0..1

Crossrefs

Sequence in context: A355124 A111829 A200000 * A220774 A296683 A297649

Adjacent sequences: A198206 A198207 A198208 * A198210 A198211 A198212

Keyword

nonn,tabl

Author

R. H. Hardin Oct 22 2011

Status

approved