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A224374 T(n,k)=Number of nXk 0..2 arrays with rows unimodal and antidiagonals nondecreasing 12
3, 9, 9, 22, 54, 27, 46, 218, 324, 81, 86, 698, 1838, 1944, 243, 148, 1915, 7608, 15540, 11664, 729, 239, 4690, 26314, 77793, 132236, 69984, 2187, 367, 10511, 80819, 311367, 800309, 1126072, 419904, 6561, 541, 21919, 227112, 1092281, 3607078, 8297747 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.....3........9.........22..........46...........86...........148
.....9.......54........218.........698.........1915..........4690
....27......324.......1838........7608........26314.........80819
....81.....1944......15540.......77793.......311367.......1092281
...243....11664.....132236......800309......3607078......13831334
...729....69984....1126072.....8297747.....42132769.....174854516
..2187...419904....9588028....86251004....495660330....2231009824
..6561..2519424...81634704...896856330...5848449149...28645726612
.19683.15116544..695055928..9325161494..69064897862..368818252942
.59049.90699264.5917866680.96954549463.815702088065.4752723627808
LINKS
FORMULA
Empirical: columns k=1..7 have recurrences of order 1,1,5,7,11,14,19 for n>0,0,0,8,13,18,24
Empirical: rows n=1..7 are polynomials of order 4*n for k>0,0,0,2,3,4,5
EXAMPLE
Some solutions for n=3 k=4
..2..2..2..2....0..0..1..2....1..2..0..0....1..2..1..1....1..1..2..0
..2..2..2..1....2..2..2..2....2..1..1..1....2..2..2..2....1..2..2..0
..2..2..2..1....2..2..2..2....2..2..1..1....2..2..2..0....2..2..1..1
CROSSREFS
Column 1 is A000244
Column 2 is 9*6^(n-1)
Row 1 is A223718
Row 2 is A223927
Sequence in context: A223933 A224057 A224310 * A238323 A223742 A223725
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 05 2013
STATUS
approved

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Last modified May 26 16:43 EDT 2024. Contains 372840 sequences. (Running on oeis4.)