A210080 Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order

51, 2384, 82691, 2718363, 88297042, 2860160370, 92588511903, 2996810715343, 96994366574290, 3139281183878814, 101604539088581047, 3288484612764581771, 106433531904417302770, 3444777087479400101786, 111492016707498418375743

Offset

1,1

Comments

Column 2 of A210086

Links

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

Formula

Empirical: a(n) = 42*a(n-1) -322*a(n-2) +274*a(n-3) +1887*a(n-4) -3124*a(n-5) +76*a(n-6) +1168*a(n-7)

Example

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

Crossrefs

Sequence in context: A278305 A231660 A210177 * A218752 A097836 A267786

Adjacent sequences: A210077 A210078 A210079 * A210081 A210082 A210083

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved