A224281 T(n,k)=Number of nXk 0..3 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

4, 16, 16, 50, 160, 64, 130, 984, 1600, 256, 296, 4580, 13683, 16000, 1024, 610, 17723, 84132, 186516, 160000, 4096, 1163, 59792, 442089, 1334973, 2596992, 1600000, 16384, 2083, 180821, 2059793, 8073038, 21348990, 37128051, 16000000, 65536, 3544

Offset

1,1

Comments

Table starts

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

......16.........160...........984...........4580...........17723

......64........1600.........13683..........84132..........442089

.....256.......16000........186516........1334973.........8073038

....1024......160000.......2596992.......21348990.......137489538

....4096.....1600000......37128051......356222482......2425304290

...16384....16000000.....537465766.....6172817040.....45275725025

...65536...160000000....7804602744...109166159263....883012703273

..262144..1600000000..113382138975..1947747629183..17667432461262

.1048576.16000000000.1646661944858.34864494529806.358042017265316

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Formula

Empirical: columns k=1..4 have recurrences of order 1,1,25,52 for n>0,0,26,59

Empirical: rows n=1..6 are polynomials of degree 6*n for k>0,0,3,7,11,15

Example

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

Crossrefs

Column 1 is A000302

Column 2 is 16*10^(n-1)

Row 1 is A223659

Row 2 is A224058

Sequence in context: A203252 A224064 A224050 * A224204 A238287 A223811

Adjacent sequences: A224278 A224279 A224280 * A224282 A224283 A224284

Keyword

nonn,tabl

Author

R. H. Hardin Apr 02 2013

Status

approved