A210168 Number of (n+1) X 3 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having two or four distinct values, and new values 0..3 introduced in row major order.

10, 201, 3283, 48577, 679253, 9173091, 121178151, 1578188865, 20364553277, 261193130859, 3336758862031, 42516443800121, 540813127075381, 6871496034443795, 87244283342152055, 1107170119794198769

Offset

1,1

Comments

Column 2 of A210174.

Links

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

Formula

Empirical: a(n) = 32*a(n-1) -362*a(n-2) +1648*a(n-3) -1561*a(n-4) -7568*a(n-5) +11440*a(n-6) +11360*a(n-7) -14768*a(n-8) -6400*a(n-9) +3840*a(n-10).

Example

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

Crossrefs

Cf. A210174.

Sequence in context: A178020 A279833 A041183 * A041180 A367200 A365177

Adjacent sequences: A210165 A210166 A210167 * A210169 A210170 A210171

Keyword

nonn

Author

R. H. Hardin, Mar 18 2012

Status

approved