A223892 T(n,k)=Number of nXk 0..2 arrays with row sums and column sums unimodal

3, 9, 9, 22, 81, 22, 46, 564, 564, 46, 86, 3298, 11264, 3298, 86, 148, 17048, 187103, 187103, 17048, 148, 239, 80412, 2719602, 8878492, 2719602, 80412, 239, 367, 353485, 35688774, 367772497, 367772497, 35688774, 353485, 367, 541, 1469903, 432076735

Offset

1,1

Comments

Table starts

...3.......9.........22...........46............86...........148

...9......81........564.........3298.........17048.........80412

..22.....564......11264.......187103.......2719602......35688774

..46....3298.....187103......8878492.....367772497...13710418065

..86...17048....2719602....367772497...43541049634.4638776041518

.148...80412...35688774..13710418065.4638776041518

.239..353485..432076735.469842794992

.367.1469903.4902528769

.541.5845411

.771

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Column 1 is A223718

Sequence in context: A223725 A223831 A223885 * A223789 A223975 A226852

Adjacent sequences: A223889 A223890 A223891 * A223893 A223894 A223895

Keyword

nonn,tabl

Author

R. H. Hardin Mar 28 2013

Status

approved