A209814 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having two distinct values, and new values 0..3 introduced in row major order

7, 34, 34, 173, 302, 173, 930, 2721, 2721, 930, 5193, 25505, 43209, 25505, 5193, 29782, 244208, 712829, 712829, 244208, 29782, 173789, 2377378, 11912459, 20873080, 11912459, 2377378, 173789, 1025274, 23398105, 201392025, 617966001, 617966001

Offset

1,1

Comments

Table starts

.......7........34.........173............930.............5193

......34.......302........2721..........25505...........244208

.....173......2721.......43209.........712829.........11912459

.....930.....25505......712829.......20873080........617966001

....5193....244208....11912459......617966001......32449786403

...29782...2377378...201392025....18479672376....1723218327331

..173789..23398105..3428713825...555404234236...91909548662623

.1025274.231987361.58668627061.16753667272666.4917823780419687

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..0..1....0..1..0..0....0..0..1..0....0..0..0..0
..2..0..0..0....0..1..0..1....1..0..1..0....0..1..1..0....0..1..1..0
..2..0..1..1....1..0..0..0....0..0..1..0....0..0..0..1....1..0..1..0
..2..0..0..0....1..0..1..0....0..1..0..0....1..0..1..1....1..0..0..1
..0..0..1..0....0..0..0..0....1..0..1..0....1..0..0..0....1..0..1..1

Crossrefs

Sequence in context: A001795 A336277 A209897 * A117663 A063166 A259055

Adjacent sequences: A209811 A209812 A209813 * A209815 A209816 A209817

Keyword

nonn,tabl

Author

R. H. Hardin Mar 13 2012

Status

approved