A184404 1/6 the number of (n+2)X3 0..2 arrays with each 3X3 subblock containing two of one value, three of another, and four of the last

1260, 16140, 201543, 2563542, 32546547, 414199395, 5273355420, 67176457326, 855995407713, 10909479199428, 139056001841799, 1772599097776482, 22596946895997162, 288073093813219107, 3672523969509460995

Offset

1,1

Comments

Column 1 of A184407

Links

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

Formula

Empirical: a(n)=3*a(n-1)+87*a(n-2)+951*a(n-3)-378*a(n-4)-56196*a(n-5)-183789*a(n-6)-325296*a(n-7)-124173*a(n-8)+4381533*a(n-9)+8037954*a(n-10)+6954660*a(n-11)-19420560*a(n-12)+2834352*a(n-13)+9447840*a(n-14)+11337408*a(n-15)

Example

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

Crossrefs

Sequence in context: A047634 A172314 A184407 * A179725 A101469 A094208

Adjacent sequences: A184401 A184402 A184403 * A184405 A184406 A184407

Keyword

nonn

Author

R. H. Hardin Jan 12 2011

Status

approved