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A219595
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 nonincreasing columns, 0..2 nXk array
13
3, 3, 3, 6, 7, 6, 10, 18, 21, 10, 15, 34, 84, 46, 15, 21, 55, 233, 264, 87, 21, 28, 81, 550, 1114, 705, 151, 28, 36, 112, 1188, 4152, 4350, 1739, 247, 36, 45, 148, 2415, 14793, 26006, 16117, 4129, 386, 45, 55, 189, 4684, 51122, 156964, 164075, 60252, 9518, 581
OFFSET
1,1
COMMENTS
Table starts
..3....3.....6......10.......15........21........28........36.........45
..3....7....18......34.......55........81.......112.......148........189
..6...21....84.....233......550......1188......2415......4684.......8746
.10...46...264....1114.....4152.....14793.....51122....170728.....550156
.15...87...705....4350....26006....156964....939006...5466749...30837420
.21..151..1739...16117...164075...1767430..18945258.197089634.1981970463
.28..247..4129...60252..1093496..21435360.415752625
.36..386..9518..226309..7362866.259297241
.45..581.21271..831045.47724022
.55..847.46019.2932198
.66.1201.96412
.78.1662
LINKS
EXAMPLE
Some solutions for n=3 k=4
..1..1..0..0....0..0..0..0....0..0..0..0....1..1..0..0....2..1..0..0
..1..1..1..0....1..0..0..0....1..0..0..0....1..1..1..0....2..1..1..0
..1..1..0..0....1..2..2..1....1..2..0..0....2..2..0..0....2..1..1..1
CROSSREFS
Row and Column 1 are A000217 for n>1
Row 2 is A000566 for n>1
Sequence in context: A166273 A244482 A219299 * A219173 A058675 A025497
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 23 2012
STATUS
approved