A209829 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order

8, 41, 41, 218, 425, 218, 1169, 4418, 4418, 1169, 6278, 46034, 90000, 46034, 6278, 33725, 479693, 1842509, 1842509, 479693, 33725, 181178, 4998707, 37744836, 74564193, 37744836, 4998707, 181178, 973337, 52089776, 773359089, 3025299170

Offset

1,1

Comments

Table starts

......8........41..........218............1169...............6278

.....41.......425.........4418...........46034.............479693

....218......4418........90000.........1842509...........37744836

...1169.....46034......1842509........74564193.........3025299170

...6278....479693.....37744836......3025299170.......243825684732

..33725...4998707....773359089....122849339000.....19693265761805

.181178..52089776..15846003427...4989831357191...1591829337311006

.973337.542809448.324684577671.202690028329573.128707386720462708

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

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

Crossrefs

Sequence in context: A350125 A096969 A376186 * A209848 A093104 A120646

Adjacent sequences: A209826 A209827 A209828 * A209830 A209831 A209832

Keyword

nonn,tabl

Author

R. H. Hardin Mar 13 2012

Status

approved