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A250574
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with nondecreasing maximum of every three consecutive values in every row and column
8
512, 3375, 3375, 21952, 39852, 21952, 140608, 463006, 463006, 140608, 884736, 5281190, 9583440, 5281190, 884736, 5545233, 59025322, 194160522, 194160522, 59025322, 5545233, 34645976, 656805747, 3844025984, 6967413024, 3844025984
OFFSET
1,1
COMMENTS
Table starts
.......512........3375..........21952............140608..............884736
......3375.......39852.........463006...........5281190............59025322
.....21952......463006........9583440.........194160522..........3844025984
....140608.....5281190......194160522........6967413024........243722971680
....884736....59025322.....3844025984......243722971680......15037777879872
...5545233...656805747....75733658665.....8480014708481.....922491768788283
..34645976..7283102949..1486288137310...293803461491618...56336934011827612
.216000000.80572967431.29093999130722.10151010566609616.3430565103477146672
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 19]
k=2: [order 49]
EXAMPLE
Some solutions for n=2 k=4
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..1..0..1..0..1..0....0..1..1..0..1..0....1..0..0..1..1..1....0..0..0..1..1..0
..1..0..1..1..1..0....0..0..0..1..0..0....0..0..1..0..0..1....0..0..0..0..0..0
..0..1..1..0..0..1....1..1..1..0..0..1....1..0..0..1..0..1....1..1..0..1..0..0
CROSSREFS
Column 1 is A189155(n+2)
Sequence in context: A254390 A253985 A253978 * A016995 A254092 A254085
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 25 2014
STATUS
approved