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

1,1

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

Links

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

Formula

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

Example

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

Crossrefs

Column 1 is A223718

Column 2 is A223719

Sequence in context: A224310 A224374 A238323 * A223725 A223831 A223885

Adjacent sequences: A223739 A223740 A223741 * A223743 A223744 A223745

Keyword

nonn,tabl

Author

R. H. Hardin Mar 26 2013

Status

approved