A189618 Number of 3Xn binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally

8, 64, 292, 1164, 5238, 25046, 116100, 526418, 2403976, 11065442, 50854642, 233077382, 1068505272, 4902990456, 22498260976, 103204910914, 473409837692, 2171794653270, 9963444579674, 45707359388096, 209680588779494

Offset

1,1

Comments

Row 3 of A189617

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +24*a(n-3) +35*a(n-4) -90*a(n-5) +103*a(n-6) -92*a(n-7) -479*a(n-8) +312*a(n-9) +411*a(n-10) -97*a(n-11) +212*a(n-12) -154*a(n-13) -300*a(n-14) +72*a(n-15) -175*a(n-16) +42*a(n-17) -20*a(n-18) +4*a(n-19)

Example

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

Crossrefs

Sequence in context: A236554 A173502 A223670 * A189690 A188741 A188993

Adjacent sequences: A189615 A189616 A189617 * A189619 A189620 A189621

Keyword

nonn

Author

R. H. Hardin Apr 24 2011

Status

approved