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A223762 T(n,k)=Number of nXk 0..3 arrays with rows, antidiagonals and columns unimodal 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified March 30 10:26 EDT 2020. Contains 333125 sequences. (Running on oeis4.)