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A219373
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nXk array
8
4, 4, 4, 10, 13, 10, 20, 60, 60, 20, 35, 193, 618, 193, 35, 56, 514, 4544, 4544, 514, 56, 84, 1231, 28365, 82312, 28365, 1231, 84, 120, 2748, 158473, 1205110, 1205110, 158473, 2748, 120, 165, 5802, 811802, 15255786, 39601472, 15255786, 811802, 5802, 165, 220
OFFSET
1,1
COMMENTS
Table starts
...4.....4.......10..........20...........35............56............84
...4....13.......60.........193..........514..........1231..........2748
..10....60......618........4544........28365........158473........811802
..20...193.....4544.......82312......1205110......15255786.....174413126
..35...514....28365.....1205110.....39601472....1107664956...28236528076
..56..1231...158473....15255786...1107664956...68107762118.3886911446418
..84..2748...811802...174413126..28236528076.3886911446418
.120..5802..3839485..1833703485.667666691778
.165.11665.16870880.17851830403
.220.22432.69358382
.286.41419
.364
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..2..3....1..0..0..3....0..0..2..1....0..0..1..2....0..0..1..3
..0..0..0..2....0..0..0..0....0..0..0..1....0..0..2..2....0..1..1..0
..3..0..0..0....2..0..0..1....0..0..0..0....0..0..0..3....3..2..0..0
CROSSREFS
Column 1 is A000292(n-1) for n>1
Sequence in context: A035618 A220931 A219578 * A337132 A151906 A151896
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 19 2012
STATUS
approved