A209969 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or two distinct values, and new values 0..3 introduced in row major order

0, 0, 0, 9, 26, 9, 162, 665, 665, 162, 1845, 13529, 25435, 13529, 1845, 17262, 235614, 870686, 870686, 235614, 17262, 144945, 3745144, 27112487, 53890394, 27112487, 3745144, 144945, 1138194, 56080379, 795773818, 3143493049, 3143493049

Offset

1,4

Comments

Table starts

.......0.........0............9.............162...............1845

.......0........26..........665...........13529.............235614

.......9.......665........25435..........870686...........27112487

.....162.....13529.......870686........53890394.........3143493049

....1845....235614.....27112487......3143493049.......351689776895

...17262...3745144....795773818....176163769267.....38303320167422

..144945..56080379..22419183624...9585247795332...4082540189707757

.1138194.806021187.613401570788.510324389383430.427998742911795767

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

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

Crossrefs

Sequence in context: A117755 A352788 A144114 * A144701 A255107 A022421

Adjacent sequences: A209966 A209967 A209968 * A209970 A209971 A209972

Keyword

nonn,tabl

Author

R. H. Hardin Mar 16 2012

Status

approved