A205747 Number of (n+1)X3 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order

48, 284, 1936, 12384, 82992, 542718, 3602578, 23691830, 156738676, 1033041690, 6824741078, 45020426618, 297261797768, 1961609742846, 12949334504402, 85463493135422, 564128280317020, 3723357621326818, 24576331604189646

Offset

1,1

Comments

Column 2 of A205753

Links

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

Formula

Empirical: a(n) = 33*a(n-2) +76*a(n-3) +13*a(n-4) -284*a(n-5) -597*a(n-6) +484*a(n-7) +1376*a(n-8) +36*a(n-9) -752*a(n-10) -256*a(n-11) for n>12

Example

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

Crossrefs

Sequence in context: A115056 A001337 A259993 * A173121 A281234 A215262

Adjacent sequences: A205744 A205745 A205746 * A205748 A205749 A205750

Keyword

nonn

Author

R. H. Hardin Jan 30 2012

Status

approved