A205348 Number of (n+1)X3 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order

110, 1750, 30904, 544616, 9559986, 168343322, 2962323362, 52122083398, 917209854720, 16139793469264, 284005789280926, 4997567530607882, 87940560143331102, 1547461583558930150, 27230185748432646344

Offset

1,1

Comments

Column 2 of A205352

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +108*a(n-2) +739*a(n-3) +534*a(n-4) -2929*a(n-5) +8365*a(n-6) +5012*a(n-7) -23096*a(n-8) -13776*a(n-9)

Example

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

Crossrefs

Sequence in context: A232339 A358256 A200877 * A008450 A163729 A251020

Adjacent sequences: A205345 A205346 A205347 * A205349 A205350 A205351

Keyword

nonn

Author

R. H. Hardin Jan 26 2012

Status

approved