A203191 - OEIS

A203191

T(n,k)=Number of nXk 0..4 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.

1, 5, 5, 25, 165, 25, 95, 3209, 3209, 95, 325, 53233, 263725, 53233, 325, 1121, 904175, 19617781, 19617781, 904175, 1121, 3985, 15703631, 1508941377, 6474088455, 1508941377, 15703631, 3985, 14288, 271942421, 117061422325, 2202928769005

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Table starts

.....1..........5..............25...................95

.....5........165............3209................53233

....25.......3209..........263725.............19617781

....95......53233........19617781...........6474088455

...325.....904175......1508941377........2202928769005

..1121...15703631....117061422325......754868206701309

..3985..271942421...9045835238617...257892549401944763

.14288.4694586685.698574745175731.88078489175441149541

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Sequence in context: A176160 A222281 A214706 * A165423 A220078 A302000

Adjacent sequences: A203188 A203189 A203190 * A203192 A203193 A203194

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 30 2011

STATUS

approved