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A196544 T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors less than or equal to itself 9
1, 3, 3, 2, 23, 2, 7, 56, 56, 7, 19, 461, 555, 461, 19, 35, 2897, 11200, 11200, 2897, 35, 77, 17967, 112723, 340286, 112723, 17967, 77, 176, 116911, 1231014, 11955804, 11955804, 1231014, 116911, 176, 377, 757146, 18047775, 492164626, 1202209625 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1........3...........2................7.................19

...3.......23..........56..............461...............2897

...2.......56.........555............11200.............112723

...7......461.......11200...........340286...........11955804

..19.....2897......112723.........11955804.........1202209625

..35....17967.....1231014........492164626.......134252759220

..77...116911....18047775......19551716726.....15090629432544

.176...757146...249080912.....762304199460...1674551042811491

.377..4893755..3224160693...30102052972401.186974407177541859

.819.31718101.42170084169.1191511814763748

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

EXAMPLE

Some solutions for n=6 k=4

..2..1..0..1....2..1..0..2....1..0..3..1....1..0..3..1....2..2..0..2

..1..3..1..3....0..3..1..2....3..2..1..0....3..3..1..0....2..4..1..2

..1..4..3..3....2..4..2..3....1..3..4..2....0..4..2..2....1..1..3..3

..3..0..1..2....1..0..2..3....1..3..2..0....1..4..3..3....3..2..4..1

..3..3..4..0....3..2..4..1....2..4..2..3....3..1..0..3....0..2..4..0

..1..0..2..2....0..1..2..0....0..2..0..1....0..3..3..0....1..3..0..2

CROSSREFS

Sequence in context: A193229 A112458 A019252 * A289893 A265466 A002073

Adjacent sequences:  A196541 A196542 A196543 * A196545 A196546 A196547

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 03 2011

STATUS

approved

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Last modified June 25 09:45 EDT 2021. Contains 345453 sequences. (Running on oeis4.)