A189690 Number of nX3 binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally

8, 64, 292, 1298, 5172, 20316, 77752, 295720, 1117080, 4209924, 15835990, 59521532, 223600028, 839772726, 3153450118, 11840705184, 44458053838, 166922053694, 626717259422, 2353026409758, 8834468527674, 33169066709822, 124533341936372

Offset

1,1

Comments

Column 3 of A189696

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -9*a(n-2) -31*a(n-3) +76*a(n-4) +22*a(n-5) -173*a(n-6) +69*a(n-7) +151*a(n-8) -111*a(n-9) -48*a(n-10) +52*a(n-11) +4*a(n-12) -8*a(n-13)

Example

Some solutions for 4X3
..1..1..0....0..0..0....0..1..0....0..0..1....0..1..1....1..1..0....1..1..0
..1..1..1....1..1..1....1..1..1....1..1..0....1..0..0....0..0..0....1..1..1
..0..1..0....1..1..1....1..1..1....1..1..1....1..1..0....0..0..0....1..0..0
..0..1..0....0..1..0....0..1..1....0..1..0....0..0..0....0..0..0....0..0..1

Crossrefs

Sequence in context: A173502 A223670 A189618 * A188741 A188993 A355840

Adjacent sequences: A189687 A189688 A189689 * A189691 A189692 A189693

Keyword

nonn

Author

R. H. Hardin Apr 25 2011

Status

approved