A203101 T(n,k) = number of nXk 0..3 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.

1, 4, 4, 16, 84, 16, 50, 1080, 1080, 50, 144, 12260, 48552, 12260, 144, 422, 143510, 2029744, 2029744, 143510, 422, 1268, 1705124, 87531478, 308642476, 87531478, 1705124, 1268, 3823, 20174774, 3790420430, 48260497186, 48260497186

Offset

1,2

Comments

Table starts

....1.........4............16.................50....................144

....4........84..........1080..............12260.................143510

...16......1080.........48552............2029744...............87531478

...50.....12260.......2029744..........308642476............48260497186

..144....143510......87531478........48260497186.........27467664499412

..422...1705124....3790420430......7574530822364......15712898935252156

.1268..20174774..163621176194...1186165852092876....8968410661761080882

.3823.238288768.7062389921398.185750876557274124.5118067454812170831280

Links

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

Example

Some solutions for n=5 k=3
..0..2..1....1..3..0....1..0..0....0..2..0....1..3..2....3..3..1....3..3..3
..0..2..1....2..3..2....3..2..1....2..2..2....2..3..2....3..2..2....0..2..0
..3..0..1....1..0..3....3..3..3....3..3..1....2..1..1....1..1..2....2..3..1
..3..2..2....3..0..3....3..3..0....2..1..0....0..1..1....2..0..1....2..3..1
..3..0..2....3..2..0....1..1..1....2..1..1....2..2..1....3..3..3....3..3..0

Crossrefs

For some rows, columns and diagonals see A203093-A203100.

Sequence in context: A038788 A010099 A204295 * A060691 A075225 A204078

Adjacent sequences: A203098 A203099 A203100 * A203102 A203103 A203104

Keyword

nonn,tabl

Author

R. H. Hardin Dec 29 2011

Status

approved