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

Author

R. H. Hardin Mar 27 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A223659

Formula

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