A233154 Number of n X 7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.

192, 5832, 184248, 5871528, 187446312, 5986203912, 191184793128, 6106045615848, 195014812167432, 6228382893621192, 198922099117492008, 6353174267751532968, 202907688630068868552, 6480466044680473473672, 206973133655395034550888

Offset

1,1

Links

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

Formula

Empirical: a(n) = 42*a(n-1) - 351*a(n-2) + 972*a(n-3) - 810*a(n-4).

Empirical g.f.: 24*x*(8 - 93*x + 279*x^2 - 270*x^3) / ((1 - 3*x)*(1 - 39*x + 234*x^2 - 270*x^3)). - Colin Barker, Oct 08 2018

Example

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

Crossrefs

Column 7 of A233155.

Sequence in context: A223421 A230751 A223375 * A292076 A223214 A215688

Adjacent sequences: A233151 A233152 A233153 * A233155 A233156 A233157

Keyword

nonn

Author

R. H. Hardin, Dec 05 2013

Status

approved