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A219173 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..2 nXk array 8
3, 3, 3, 6, 7, 6, 10, 23, 23, 10, 15, 53, 146, 53, 15, 21, 103, 644, 644, 103, 21, 28, 182, 2399, 5853, 2399, 182, 28, 36, 302, 8024, 43013, 43013, 8024, 302, 36, 45, 478, 24670, 276278, 602498, 276278, 24670, 478, 45, 55, 728, 70595, 1613256, 7275277, 7275277 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
..3....3.......6........10..........15............21............28
..3....7......23........53.........103...........182...........302
..6...23.....146.......644........2399..........8024.........24670
.10...53.....644......5853.......43013........276278.......1613256
.15..103....2399.....43013......602498.......7275277......80593130
.21..182....8024....276278.....7275277.....165134835....3500147133
.28..302...24670...1613256....80593130....3500147133..144424701184
.36..478...70595...8712423...831309835...69563364248.5595306138684
.45..728..189703..43862661..7991092857.1285723371646
.55.1073..482428.207505133.71939079266
.66.1537.1168768.928829599
.78.2147.2712689
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..1..2....0..0..2..2....0..0..1..2....0..0..2..2....0..0..1..0
..0..1..1..0....0..0..2..2....0..0..0..1....0..1..2..2....0..0..0..0
..2..1..0..0....0..1..1..2....2..0..0..0....1..1..1..2....0..2..2..0
CROSSREFS
Column 1 is (n^2+n)/2 for n>1
Sequence in context: A244482 A219299 A219595 * A058675 A025497 A031502
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 13 2012
STATUS
approved

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Last modified February 22 13:38 EST 2024. Contains 370256 sequences. (Running on oeis4.)