A223725 T(n,k)=Number of nXk 0..2 arrays with rows, antidiagonals and columns unimodal.

3, 9, 9, 22, 81, 22, 46, 484, 484, 46, 86, 2116, 5883, 2116, 86, 148, 7396, 46613, 46613, 7396, 148, 239, 21904, 273562, 608855, 273562, 21904, 239, 367, 57121, 1285547, 5537147, 5537147, 1285547, 57121, 367, 541, 134689, 5087912, 38566854, 74140718

Offset: 1

Author

R. H. Hardin Mar 26 2013

Keywords

• nonn
• tabl

Comments

Table starts

...3......9........22..........46............86............148..............239

...9.....81.......484........2116..........7396..........21904............57121

..22....484......5883.......46613........273562........1285547..........5087912

..46...2116.....46613......608855.......5537147.......38566854........218619076

..86...7396....273562.....5537147......74140718......733129227.......5733691150

.148..21904...1285547....38566854.....733129227.....9991366555.....105179942478

.239..57121...5087912...218619076....5733691150...105179942478....1461411174370

.367.134689..17557701..1051051942...37151436091...899048082946...16206659678557

.541.292681..54161878..4413826871..206162721823..6467662339564..148957213473086

.771.594441.152154419.16548850432.1004293423046.40225236084575.1167498177877341

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..179

Crossrefs

Column 1 is column m=3 of A071920

Formula

Empirical: columns k=1..6 are polynomials of degree 4*k for n>0,0,0,2,5,10