A231258 Number of (n+1) X (3+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

4, 32, 304, 2982, 29366, 289230, 2848550, 28054534, 276301638, 2721223974, 26800640678, 263952669990, 2599602461350, 25602820961958, 252155647340198, 2483416596612262, 24458536057349286, 240885877498412198

Offset

1,1

Comments

Column 3 of A231263.

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -96*a(n-2) +308*a(n-3) -628*a(n-4) +800*a(n-5) -656*a(n-6) +256*a(n-7).

Empirical g.f.: 2*x*(2 - 18*x + 72*x^2 - 173*x^3 + 256*x^4 - 228*x^5 + 128*x^6) / ((1 - x)*(1 - 16*x + 80*x^2 - 228*x^3 + 400*x^4 - 400*x^5 + 256*x^6)). - Colin Barker, Feb 16 2018

Example

Some solutions for n=3:
..0..0..0..0....0..0..1..1....0..0..1..1....0..0..0..0....0..0..0..0
..0..0..0..0....0..1..1..2....0..1..0..0....1..1..1..1....0..0..1..1
..1..1..0..0....0..0..2..2....1..0..0..2....0..0..1..1....1..1..1..2
..1..0..0..0....0..0..0..0....0..0..2..2....0..1..1..1....2..2..2..2

Crossrefs

Sequence in context: A000766 A370099 A267982 * A294592 A197715 A369026

Adjacent sequences: A231255 A231256 A231257 * A231259 A231260 A231261

Keyword

nonn

Author

R. H. Hardin, Nov 06 2013

Status

approved