A183504 Number of nX2 0..3 arrays with no element equal to the sum mod 4 of its horizontal and vertical neighbors

12, 81, 776, 6561, 59292, 531441, 4786704, 43046721, 387440172, 3486784401, 31381355016, 282429536481, 2541867422652, 22876792454961, 205891156016784, 1853020188851841, 16677181828806732, 150094635296999121

Offset

1,1

Comments

Column 2 of A183508

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=9*a(n-1)+81*a(n-4)-729*a(n-5)+81*a(n-8)-729*a(n-9)-6561*a(n-12)+59049*a(n-13)

Example

Some solutions for 3X2
..3..2....1..0....2..3....1..1....2..3....1..0....0..3....2..2....1..2....2..0
..2..1....3..0....2..2....3..3....1..2....2..0....3..1....1..3....2..3....0..0
..3..2....1..0....3..0....2..0....3..0....2..1....1..1....1..3....3..0....0..3

Crossrefs

Sequence in context: A147650 A007010 A069996 * A194493 A163020 A164300

Adjacent sequences: A183501 A183502 A183503 * A183505 A183506 A183507

Keyword

nonn

Author

R. H. Hardin Jan 05 2011

Status

approved