A206265 Number of (n+1) X 7 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors.

105, 128, 339, 800, 1725, 3440, 6444, 11448, 19457, 31832, 50397, 77528, 116289, 170552, 245166, 346112, 480709, 657808, 888039, 1184048, 1560789, 2035808, 2629584, 3365864, 4272057, 5379624, 6724529, 8347688, 10295481, 12620264

Offset

1,1

Comments

Column 6 of A206267.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) - 20*a(n-2) + 28*a(n-3) - 14*a(n-4) - 14*a(n-5) + 28*a(n-6) - 20*a(n-7) + 7*a(n-8) - a(n-9) for n>10.

Empirical g.f.: x*(105 - 607*x + 1543*x^2 - 1953*x^3 + 791*x^4 + 1135*x^5 - 1938*x^6 + 1302*x^7 - 436*x^8 + 60*x^9) / ((1 - x)^8*(1 + x)). - Colin Barker, Jun 15 2018

Example

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

Crossrefs

Cf. A206267.

Sequence in context: A033268 A325903 A095643 * A253022 A267891 A097217

Adjacent sequences: A206262 A206263 A206264 * A206266 A206267 A206268

Keyword

nonn

Author

R. H. Hardin, Feb 05 2012

Status

approved