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

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Last modified March 4 10:03 EST 2024. Contains 370528 sequences. (Running on oeis4.)