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

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A219165 A219166 A219167 * A219169 A219170 A219171

Keyword

nonn

Author

R. H. Hardin Nov 13 2012

Status

approved