A232197 Number of (n+1)X(1+1) 0..2 arrays with every element both >= and <= some horizontal, vertical or antidiagonal neighbor

15, 109, 685, 4483, 29469, 193531, 1270657, 8343063, 54780825, 359691769, 2361740413, 15507217849, 101820594071, 668555339287, 4389743011111, 28823109441929, 189252909756115, 1242637055605621, 8159170994793111

Offset

1,1

Comments

Column 1 of A232204

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -5*a(n-2) +16*a(n-3) -12*a(n-4) -a(n-5) -7*a(n-6) -9*a(n-7) +2*a(n-8) -2*a(n-9) +3*a(n-10) +2*a(n-11) -a(n-12)

Example

Some solutions for n=6
..1..0....1..0....0..0....0..0....0..0....0..0....0..2....1..1....0..2....1..0
..2..0....1..0....0..2....0..0....2..0....2..2....0..2....0..0....0..2....1..0
..2..1....1..1....2..2....0..0....2..1....1..2....0..0....0..1....0..1....0..1
..2..0....1..0....1..1....0..2....2..2....1..1....2..2....1..1....1..0....2..2
..2..0....0..0....0..0....2..2....2..0....0..0....1..0....1..1....0..1....2..2
..0..1....0..2....0..1....2..1....0..2....0..0....0..2....1..2....0..1....1..0
..1..1....2..2....0..1....0..0....1..2....0..0....1..2....1..2....0..0....1..0

Crossrefs

Sequence in context: A232124 A232204 A232117 * A347500 A205352 A055504

Adjacent sequences: A232194 A232195 A232196 * A232198 A232199 A232200

Keyword

nonn

Author

R. H. Hardin, Nov 20 2013

Status

approved