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A219168
Number of nX3 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 nX3 array
1
6, 23, 146, 644, 2399, 8024, 24670, 70595, 189703, 482428, 1168768, 2712689, 6060622, 13086909, 27406161, 55822557, 110863500, 215126312, 408605812, 760846267, 1390785936, 2498695182, 4416871050, 7689045773, 13193204903
OFFSET
1,1
COMMENTS
Column 3 of A219173
LINKS
FORMULA
Empirical: a(n) = (1/3487131648000)*n^16 - (1/163459296000)*n^15 + (1/174356582400)*n^14 + (107/9340531200)*n^13 - (4799/19160064000)*n^12 + (2117/449064000)*n^11 - (8749/406425600)*n^10 + (6127/228614400)*n^9 + (83683631/24385536000)*n^8 + (8015627/163296000)*n^7 - (1747104083/958003200)*n^6 + (19176515419/718502400)*n^5 - (45857964298051/217945728000)*n^4 + (9130419742127/9081072000)*n^3 - (856729430749/302702400)*n^2 + (311014261/72072)*n - 2697 for n>6
EXAMPLE
Some solutions for n=3
..1..0..2....1..1..2....0..0..0....0..0..0....1..1..2....0..0..1....1..0..0
..0..0..0....1..1..2....0..0..2....0..0..0....1..1..2....0..0..1....0..0..0
..2..0..1....1..2..2....2..2..2....1..0..0....1..1..1....0..0..1....0..0..0
CROSSREFS
Sequence in context: A013263 A013259 A012468 * A013260 A013266 A154420
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 13 2012
STATUS
approved