A232408 Number of (n+1) X (2+1) 0..2 arrays with every element both >= and <= some horizontal, diagonal or antidiagonal neighbor.

159, 2689, 48971, 890283, 16262989, 296516955, 5408696699, 98655002241, 1799471776631, 32822396381147, 598681879952041, 10919979187793811, 199180815849539195, 3633065333519893625, 66267244037598420899

Offset

1,1

Comments

Column 2 of A232414.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +99*a(n-2) +761*a(n-3) +3010*a(n-4) +3817*a(n-5) -6407*a(n-6) -73996*a(n-7) -157764*a(n-8) -156451*a(n-9) -52584*a(n-10) +63306*a(n-11) +76836*a(n-12) +4720*a(n-13) -14400*a(n-14).

Example

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

Crossrefs

Cf. A232414.

Sequence in context: A242115 A227709 A212780 * A121800 A121804 A293920

Adjacent sequences: A232405 A232406 A232407 * A232409 A232410 A232411

Keyword

nonn

Author

R. H. Hardin, Nov 23 2013

Status

approved