A233031 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with row and column sums nondecreasing, and no adjacent elements equal

34, 96, 96, 333, 642, 333, 912, 3132, 3132, 912, 2874, 16296, 55642, 16296, 2874, 8070, 77353, 566933, 566933, 77353, 8070, 25028, 337570, 7169782, 12724788, 7169782, 337570, 25028, 71492, 1459711, 74939353, 308492287, 308492287, 74939353

Offset

1,1

Comments

Table starts

.....34......96.......333........912........2874.......8070.....25028

.....96.....642......3132......16296.......77353.....337570...1459711

....333....3132.....55642.....566933.....7169782...74939353.839537894

....912...16296....566933...12724788...308492287.6654563282

...2874...77353...7169782..308492287.18244622214

...8070..337570..74939353.6654563282

..25028.1459711.839537894

..71492.6131600

.221072

Links

R. H. Hardin, Table of n, a(n) for n = 1..48

Example

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

Crossrefs

Sequence in context: A202414 A160062 A247218 * A233028 A044221 A044602

Adjacent sequences: A233028 A233029 A233030 * A233032 A233033 A233034

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2013

Status

approved