A210159 Number of (n+1)X3 0..3 arrays with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

148, 6977, 351482, 17864271, 908980864, 46257884813, 2354098130302, 119802073302399, 6096832015875652, 310273110797149253, 15790069903296057458, 803570464268447301967, 40894403574255214909720

Offset

1,1

Comments

Column 2 of A210165

Links

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

Formula

Empirical: a(n) = 55*a(n-1) -186*a(n-2) -1230*a(n-3) +2723*a(n-4) +159*a(n-5) -1604*a(n-6) +468*a(n-7)

Example

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

Crossrefs

Sequence in context: A224308 A224372 A185478 * A252770 A035822 A221349

Adjacent sequences: A210156 A210157 A210158 * A210160 A210161 A210162

Keyword

nonn

Author

R. H. Hardin Mar 18 2012

Status

approved