A183505 Number of nX3 0..3 arrays with no element equal to the sum mod 4 of its horizontal and vertical neighbors

27, 776, 19683, 531441, 14369472, 387420489, 10460353203, 282432195144, 7625597484987, 205891132094649, 5559061744716480, 150094635296999121, 4052555153018976267, 109418989288418720136, 2954312706550833698643

Offset

1,1

Comments

Column 3 of A183508

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical: a(n)=27*a(n-1)+63909*a(n-6)-1725543*a(n-7)-274577850*a(n-12)+7413601950*a(n-13)-739973133990*a(n-18)+19979274617730*a(n-19)+454993983270891*a(n-24)-12284837548314057*a(n-25)+150094635296999121*a(n-30)-4052555153018976267*a(n-31)

Example

Some solutions for 5X3
..0..2..2....0..0..0....0..0..0....0..0..0....2..0..0....2..2..2....0..0..2
..0..2..2....2..2..2....3..2..2....3..2..2....0..0..2....2..0..2....1..0..0
..1..1..3....2..1..3....2..0..3....2..2..3....0..3..1....2..0..3....2..2..1
..3..1..2....0..0..2....1..0..3....0..0..0....0..0..2....1..0..2....2..1..2
..2..1..1....3..2..2....2..2..2....3..0..3....2..0..0....0..2..1....1..2..2

Crossrefs

Sequence in context: A348634 A232951 A138979 * A218717 A159234 A120715

Adjacent sequences: A183502 A183503 A183504 * A183506 A183507 A183508

Keyword

nonn

Author

R. H. Hardin Jan 05 2011

Status

approved