A209848 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having one or two distinct values, and new values 0..3 introduced in row major order

8, 41, 41, 227, 451, 227, 1331, 5083, 5083, 1331, 8123, 59563, 115435, 59563, 8123, 50987, 715307, 2713195, 2713195, 715307, 50987, 326123, 8743851, 64857323, 128454587, 64857323, 8743851, 326123, 2111531, 108170155, 1569132907

Offset

1,1

Comments

Table starts

.......8.........41..........227............1331...............8123

......41........451.........5083...........59563.............715307

.....227.......5083.......115435.........2713195...........64857323

....1331......59563......2713195.......128454587.........6168792219

....8123.....715307.....64857323......6168792219.......595515461627

...50987....8743851...1569132907....299013108267.....57996585929227

..326123..108170155..38265187051..14575079152523...5674369527018763

.2111531.1348830635.938086148459.713014417713003.556706129632258475

Links

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

Example

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

Crossrefs

Sequence in context: A350125 A096969 A209829 * A093104 A120646 A041116

Adjacent sequences: A209845 A209846 A209847 * A209849 A209850 A209851

Keyword

nonn,tabl

Author

R. H. Hardin Mar 14 2012

Status

approved