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

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

R. H. Hardin, Table of n, a(n) for n = 1..126

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

Adjacent sequences: A250571 A250572 A250573 * A250575 A250576 A250577

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 25 2014

Status

approved