A210138 Number of (n+1)X4 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

105, 4349, 159327, 5451164, 178904077, 5714971168, 179321691502, 5559548788474, 170972595046842, 5229087409961369, 159331519832860386, 4842527307715760107, 146922920026150589111, 4452400930651345522825, 134818625964532109683635

Offset

1,1

Comments

Column 3 of A210143

Links

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

Formula

Empirical: a(n) = 89*a(n-1) -3068*a(n-2) +51966*a(n-3) -443001*a(n-4) +1546826*a(n-5) +1718332*a(n-6) -24576952*a(n-7) +30663994*a(n-8) +107350909*a(n-9) -226371596*a(n-10) -140409398*a(n-11) +501187032*a(n-12) -47667796*a(n-13) -343494224*a(n-14) +74492360*a(n-15) +92532416*a(n-16) -19372128*a(n-17) -8588160*a(n-18) +1382400*a(n-19)

Example

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

Crossrefs

Sequence in context: A006361 A360275 A221791 * A075350 A165055 A168306

Adjacent sequences: A210135 A210136 A210137 * A210139 A210140 A210141

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved