A223762 T(n,k)=Number of nXk 0..3 arrays with rows, antidiagonals and columns unimodal

4, 16, 16, 50, 256, 50, 130, 2500, 2500, 130, 296, 16900, 61733, 16900, 296, 610, 87616, 916107, 916107, 87616, 610, 1163, 372100, 9478535, 26631193, 9478535, 372100, 1163, 2083, 1352569, 74824917, 499583168, 499583168, 74824917, 1352569, 2083

Offset

1,1

Comments

Table starts

....4.......16..........50............130..............296.................610

...16......256........2500..........16900............87616..............372100

...50.....2500.......61733.........916107..........9478535............74824917

..130....16900......916107.......26631193........499583168..........6754232986

..296....87616.....9478535......499583168......15947472102........350182483445

..610...372100....74824917.....6754232986.....350182483445......12025063773557

.1163..1352569...477860225....70657105931....5733827943118.....298630624023222

.2083..4338889..2571238699...600526842770...73972033945807....5692159574625373

.3544.12559936.12006271464..4295532642860..782389879664731...86933612444360250

.5776.33362176.49749360288.26553802745045.6990377642784235.1098959847553820404

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Formula

Empirical: columns k=1..5 are polynomials of degree 6*k for n>0,0,0,2,5

Example

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

Crossrefs

Column 1 is A223659

Sequence in context: A224204 A238287 A223811 * A223850 A223663 A224113

Adjacent sequences: A223759 A223760 A223761 * A223763 A223764 A223765

Keyword

nonn,tabl

Author

R. H. Hardin Mar 27 2013

Status

approved