%I #4 Mar 26 2013 10:14:15

%S 3,9,9,22,81,22,46,484,484,46,86,2116,5883,2116,86,148,7396,46613,

%T 46613,7396,148,239,21904,273562,608855,273562,21904,239,367,57121,

%U 1285547,5537147,5537147,1285547,57121,367,541,134689,5087912,38566854,74140718

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

%C Table starts

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

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

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

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

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

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

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

%C .367.134689..17557701..1051051942...37151436091...899048082946...16206659678557

%C .541.292681..54161878..4413826871..206162721823..6467662339564..148957213473086

%C .771.594441.152154419.16548850432.1004293423046.40225236084575.1167498177877341

%H R. H. Hardin, <a href="/A223725/b223725.txt">Table of n, a(n) for n = 1..179</a>

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

%e Some solutions for n=3 k=4

%e ..2..0..0..0....0..0..2..2....0..1..1..2....0..1..1..0....0..1..2..2

%e ..1..1..1..2....0..1..2..0....0..1..2..1....2..2..1..1....1..1..0..0

%e ..1..2..2..1....0..0..2..0....2..2..2..0....1..2..1..1....0..0..0..0

%Y Column 1 is column m=3 of A071920

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 26 2013