A223831 T(n,k)=Number of nXk 0..2 arrays with rows and columns unimodal

3, 9, 9, 22, 81, 22, 46, 484, 484, 46, 86, 2116, 6166, 2116, 86, 148, 7396, 51136, 51136, 7396, 148, 239, 21904, 310396, 738482, 310396, 21904, 239, 367, 57121, 1492552, 7291180, 7291180, 1492552, 57121, 367, 541, 134689, 5995781, 54035194, 111026387

Offset

1,1

Comments

Table starts

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

...9.....81.......484........2116..........7396...........21904

..22....484......6166.......51136........310396.........1492552

..46...2116.....51136......738482.......7291180........54035194

..86...7396....310396.....7291180.....111026387......1215505987

.148..21904...1492552....54035194....1215505987.....18986502099

.239..57121...5995781...320423509...10278415020....222531132820

.367.134689..20879061..1590193515...70637615542...2068398813560

.541.292681..64727664..6823643014..409495177832..15880238812350

.771.594441.182215264.25942390362.2059270878998.103853282918692

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical: columns k=1..7 are polynomials of degree 4*k

Example

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

Crossrefs

Column 1 is A223718

Column 2 is A223719

Sequence in context: A238323 A223742 A223725 * A223885 A223892 A223789

Adjacent sequences: A223828 A223829 A223830 * A223832 A223833 A223834

Keyword

nonn,tabl

Author

R. H. Hardin Mar 27 2013

Status

approved