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A203101 T(n,k) = number of nXk 0..3 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 25 09:10 EST 2020. Contains 338623 sequences. (Running on oeis4.)