A183584 T(n,k)=Half the number of nXk 0..3 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors

0, 2, 2, 2, 14, 2, 8, 78, 78, 8, 14, 407, 814, 407, 14, 38, 2216, 9667, 9667, 2216, 38, 80, 12024, 110674, 240358, 110674, 12024, 80, 194, 65277, 1282814, 5987795, 5987795, 1282814, 65277, 194, 434, 354615, 14823037, 149355515, 320224986, 149355515

Offset

1,2

Comments

Table starts

....0........2...........2..............8.................14

....2.......14..........78............407...............2216

....2.......78.........814...........9667.............110674

....8......407........9667.........240358............5987795

...14.....2216......110674........5987795..........320224986

...38....12024.....1282814......149355515........17195908538

...80....65277....14823037.....3724940988.......922710498351

..194...354615...171459557....92915045150.....49526167251643

..434..1926386..1982720806..2317648165893...2658141294593252

.1016.10465655.22929915669.57811518197886.142669482408162261

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

Some solutions with a(1,1)<=1 for 4X3
..1..1..3....1..3..3....1..0..3....1..2..2....0..2..2....1..2..2....1..3..3
..1..3..3....1..1..1....1..0..3....1..1..3....0..0..0....1..1..3....1..0..0
..2..1..3....1..1..1....0..0..0....1..1..3....0..2..2....0..3..3....1..3..3
..2..1..1....2..2..2....0..1..1....1..1..1....2..2..2....0..0..3....3..3..3

Crossrefs

Column 1 is 2*A006130(n-2)

Sequence in context: A336491 A049148 A369077 * A289068 A063898 A074052

Adjacent sequences: A183581 A183582 A183583 * A183585 A183586 A183587

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved