A252688 Number of (n+2)X(1+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.

46, 96, 148, 394, 707, 1982, 3703, 10772, 20437, 60042, 115343, 338174, 656519, 1913418, 3749109, 10848316, 21436803, 61563668, 122626571, 349539732, 701532497, 1985146994, 4013145959, 11276488886, 22954622815, 64065149914

Offset

1,1

Comments

Column 1 of A252695

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +9*a(n-2) -15*a(n-3) -30*a(n-4) +21*a(n-5) +80*a(n-6) +18*a(n-7) -132*a(n-8) -76*a(n-9) +88*a(n-10) +108*a(n-11) -32*a(n-12) -40*a(n-13) for n>14

Example

Some solutions for n=4
..0..1..0....0..1..0....0..1..0....0..1..1....0..1..1....0..1..0....0..0..1
..2..1..2....2..3..2....2..1..2....2..3..2....2..3..2....2..1..2....2..0..0
..2..3..2....2..1..2....2..0..2....2..3..2....2..1..2....2..3..2....2..2..0
..0..1..0....0..3..0....1..0..1....0..2..0....0..3..0....1..3..1....3..2..2
..0..1..0....0..3..0....1..2..1....2..3..2....0..3..0....1..0..1....3..3..2
..2..2..3....1..2..2....3..0..3....2..3..2....2..1..2....3..3..2....1..3..3

Crossrefs

Sequence in context: A044184 A044565 A252695 * A358897 A119417 A287767

Adjacent sequences: A252685 A252686 A252687 * A252689 A252690 A252691

Keyword

nonn

Author

R. H. Hardin, Dec 20 2014

Status

approved