A184499 1/12 the number of (n+2)X3 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last

252, 1248, 6132, 30024, 149112, 736200, 3618864, 17994960, 88970832, 437998752, 2179485792, 10786403232, 53164931904, 264710389824, 1311266615616, 6470585244288, 32236291820160, 159828372581760, 789588076184064

Offset

1,1

Comments

Column 1 of A184505

Links

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

Formula

Empirical: a(n)=3*a(n-1)+12*a(n-2)+132*a(n-3)-432*a(n-4)-1620*a(n-5)-2052*a(n-6)+10692*a(n-7)+29160*a(n-8)+7776*a(n-9)-69984*a(n-10)-139968*a(n-11)

Example

Some solutions with a(1,1)=0 for 4X3
..0..2..1....0..2..1....0..0..1....0..1..0....0..2..0....0..2..2....0..2..1
..0..1..0....0..1..0....0..2..1....0..2..0....1..1..0....2..0..2....2..2..2
..0..0..1....0..1..0....1..0..0....0..2..2....1..0..0....0..1..2....0..2..0
..1..2..0....1..2..0....0..0..1....2..2..1....2..0..0....0..0..0....2..1..0

Crossrefs

Sequence in context: A275316 A275315 A184505 * A154045 A364687 A172223

Adjacent sequences: A184496 A184497 A184498 * A184500 A184501 A184502

Keyword

nonn

Author

R. H. Hardin Jan 16 2011

Status

approved