A183508 T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum mod 4 of its horizontal and vertical neighbors

3, 12, 12, 27, 81, 27, 81, 776, 776, 81, 252, 6561, 19683, 6561, 252, 729, 59292, 531441, 531441, 59292, 729, 2187, 531441, 14369472, 43146816, 14369472, 531441, 2187, 6588, 4786704, 387420489, 3486784401, 3486784401, 387420489, 4786704, 6588

Offset

1,1

Comments

Table starts

.....3........12...........27.............81.............252.............729

....12........81..........776...........6561...........59292..........531441

....27.......776........19683.........531441........14369472.......387420489

....81......6561.......531441.......43146816......3486784401....282429536481

...252.....59292.....14369472.....3486784401....847298204784.205891132094649

...729....531441....387420489...282429536481.205891132094649

..2187...4786704..10460353203.22876792454961

..6588..43046721.282432195144

.19683.387440172

.59049

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for 4X3
..0..2..2....0..2..3....0..0..2....0..0..3....0..2..0....0..0..1....0..2..3
..3..1..3....1..0..2....1..0..1....2..2..0....3..3..1....2..2..3....1..2..3
..0..2..1....2..1..1....0..0..2....1..3..1....3..2..0....1..3..3....2..3..3
..0..2..1....1..0..3....2..3..3....1..1..3....3..3..0....2..2..0....0..3..3

Crossrefs

Sequence in context: A217785 A168410 A085272 * A070732 A197208 A292624

Adjacent sequences: A183505 A183506 A183507 * A183509 A183510 A183511

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved