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A223742 T(n,k)=Number of nXk 0..2 arrays with rows, columns, diagonals and antidiagonals unimodal 7
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 26 2013
STATUS
approved

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Last modified April 20 22:14 EDT 2024. Contains 371848 sequences. (Running on oeis4.)