A223742 T(n,k)=Number of nXk 0..2 arrays with rows, columns, diagonals and antidiagonals unimodal.

3, 9, 9, 22, 81, 22, 46, 484, 484, 46, 86, 2116, 5600, 2116, 86, 148, 7396, 42090, 42090, 7396, 148, 239, 21904, 237088, 480236, 237088, 21904, 239, 367, 57121, 1082738, 3868968, 3868968, 1082738, 57121, 367, 541, 134689, 4207089, 24527068, 41586328

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......5600......42090.......237088.......1082738........4207089

..46...2116.....42090.....480236......3868968......24527068......129982953

..86...7396....237088....3868968.....41586328.....340038574.....2289596121

.148..21904...1082738...24527068....340038574....3437215802....28017383049

.239..57121...4207089..129982953...2289596121...28017383049...268717054875

.367.134689..14362171..597438379..13281578167..195114520747..2171612995939

.541.292681..44066468.2440360420..68222609208.1200776938428.15433289999394

.771.594441.123591226.9014646324.316008418514.6667000031694

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..127

Crossrefs

Column 1 is A223718

Column 2 is A223719

Formula

Empirical: columns k=1..6 are polynomials of degree 4*k for n>0,0,0,6,11,18