A210137 Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order

10, 221, 4349, 78063, 1321270, 21511540, 341220491, 5317431003, 81861887256, 1249700319322, 18966681171701, 286687896928349, 4321107835703010, 65001162786442684, 976443703757880607, 14653948717478775383

Offset

1,1

Comments

Column 2 of A210143

Links

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

Formula

Empirical: a(n) = 40*a(n-1) -590*a(n-2) +3962*a(n-3) -11899*a(n-4) +12350*a(n-5) +3806*a(n-6) -12980*a(n-7) +4512*a(n-8) +1056*a(n-9) -256*a(n-10)

Example

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

Crossrefs

Sequence in context: A334908 A166181 A199748 * A064333 A223817 A317171

Adjacent sequences: A210134 A210135 A210136 * A210138 A210139 A210140

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved