|
|
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
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|