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A220153
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array.
14
3, 3, 6, 6, 11, 10, 10, 23, 26, 15, 15, 50, 77, 52, 21, 21, 88, 254, 242, 95, 28, 28, 137, 645, 1174, 727, 163, 36, 36, 197, 1413, 4559, 5410, 2062, 266, 45, 45, 268, 2841, 16110, 34959, 24684, 5493, 416, 55, 55, 350, 5412, 53947, 214767, 279304, 108169, 13773
OFFSET
1,1
COMMENTS
Table starts
..3....3......6.......10........15.........21..........28..........36
..6...11.....23.......50........88........137.........197.........268
.10...26.....77......254.......645.......1413........2841........5412
.15...52....242.....1174......4559......16110.......53947......173732
.21...95....727.....5410.....34959.....214767.....1272216.....7244186
.28..163...2062....24684....279304....3057777....32566283...333052410
.36..266...5493...108169...2173203...42648602...822242009.15270635323
.45..416..13773...448881..16032779..564936966.19788620178
.55..627..32664..1761976.111800304.7083618786
.66..915..73654..6564622.739040657
.78.1298.158660.23314449
.91.1796.327852
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..0....0..0..0..0....1..1..1..1....0..0..0..0....1..1..1..1
..0..1..0..0....2..1..0..0....2..1..1..1....1..1..0..0....1..1..0..1
..0..0..0..1....2..2..1..1....2..2..2..2....1..1..2..2....2..2..0..0
CROSSREFS
Column 1 is A000217(n+1)
Row 1 is A000217 for n>1
Sequence in context: A394459 A088528 A363241 * A219627 A340571 A131942
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 06 2012
STATUS
approved