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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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: A077991 A336491 A049148 * A289068 A063898 A074052

Adjacent sequences: A183581 A183582 A183583 * A183585 A183586 A183587

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 05 2011

STATUS

approved

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Last modified December 9 10:59 EST 2022. Contains 358700 sequences. (Running on oeis4.)