A202444 Number of (n+2) X 7 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.

484, 836, 1722, 3122, 5512, 8996, 14338, 21674, 32120, 45844, 64378, 87922, 118488, 156308, 203938, 261642, 332584, 417060, 518906, 638450, 780264, 944708, 1137154, 1357994, 1613464, 1903988, 2236730, 2612146, 3038392, 3515956, 4054050, 4653194

Offset

1,1

Comments

Column 5 of A202447.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -8*a(n-3) +6*a(n-4) +6*a(n-5) -8*a(n-6) +3*a(n-8) -a(n-9) for n>10.

Empirical g.f.: 2*x*(242 - 308*x - 393*x^2 + 914*x^3 - 35*x^4 - 842*x^5 + 425*x^6 + 190*x^7 - 207*x^8 + 46*x^9) / ((1 - x)^6*(1 + x)^3). - Colin Barker, May 31 2018

Example

Some solutions for n=4:
..1..0..1..1..1..1..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1
..0..1..1..1..1..1..1....0..0..0..0..0..0..0....1..0..1..0..1..0..0
..1..1..1..1..1..1..1....0..1..0..1..1..1..1....1..1..1..1..1..1..1
..0..1..1..1..1..1..1....0..0..0..0..0..0..0....1..1..1..1..1..1..1
..1..1..1..1..1..1..1....0..1..0..1..0..1..0....1..1..1..1..1..1..1
..1..1..1..1..1..1..1....0..0..0..0..0..0..0....1..1..1..1..1..1..1

Crossrefs

Cf. A202447.

Sequence in context: A251625 A156646 A177434 * A329872 A199330 A281398

Adjacent sequences: A202441 A202442 A202443 * A202445 A202446 A202447

Keyword

nonn

Author

R. H. Hardin, Dec 19 2011

Status

approved