A204344 Number of (n+2)X3 0..3 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order

9672, 540324, 30378276, 1708802980, 96125591660, 5407387617220, 304183813284988, 17111367047366980, 962572201416127452, 54147938064056337924, 3046004437189115857116, 171348039521073113161540

Offset

1,1

Comments

Column 1 of A204351

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 62*a(n-1) -285*a(n-2) -2404*a(n-3) +14308*a(n-4) -9048*a(n-5) -23940*a(n-6) +27216*a(n-7) -7056*a(n-8)

Example

Some solutions for n=3
..0..0..0....0..1..1....0..1..1....0..0..0....0..0..0....0..0..1....0..0..0
..1..0..0....1..0..0....0..0..0....0..0..1....0..0..1....0..0..0....1..0..0
..1..0..1....0..1..1....2..0..1....1..0..1....1..1..1....1..0..2....2..0..3
..1..2..2....1..0..0....2..1..1....1..0..1....2..1..2....2..1..1....1..2..0
..1..1..3....0..1..1....3..1..0....2..1..1....3..0..2....2..2..0....2..0..1

Crossrefs

Sequence in context: A183851 A238036 A204351 * A204343 A068362 A246228

Adjacent sequences: A204341 A204342 A204343 * A204345 A204346 A204347

Keyword

nonn

Author

R. H. Hardin Jan 14 2012

Status

approved