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

1,1

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

Links

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

Formula

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

Example

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

Crossrefs

Column 1 is column m=3 of A071920

Sequence in context: A224374 A238323 A223742 * A223831 A223885 A223892

Adjacent sequences: A223722 A223723 A223724 * A223726 A223727 A223728

Keyword

nonn,tabl

Author

R. H. Hardin Mar 26 2013

Status

approved