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

Author

R. H. Hardin Dec 29 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

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