A209498 Number of nX3 0..4 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order

5, 57, 1938, 78135, 3268686, 137627625, 5801378991, 244591579065, 10312560758853, 434804544586449, 18332515897436133, 772947757887140085, 32589539696259731973, 1374061949636494558605, 57934118148061257233025

Offset

1,1

Comments

Column 3 of A209503

Links

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

Formula

Empirical: a(n) = 52*a(n-1) -388*a(n-2) -1564*a(n-3) +19075*a(n-4) -29776*a(n-5) -22290*a(n-6) +50544*a(n-7) -5832*a(n-8) for n>9

Example

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

Crossrefs

Sequence in context: A244288 A009480 A009481 * A209739 A209460 A209522

Adjacent sequences: A209495 A209496 A209497 * A209499 A209500 A209501

Keyword

nonn

Author

R. H. Hardin Mar 09 2012

Status

approved