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

Author

R. H. Hardin Mar 27 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A223718

Column 2 is A223719

Formula

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