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A219878
Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array
1
6, 11, 47, 146, 410, 1069, 2701, 6645, 15787, 36047, 79071, 166909, 339837, 668982, 1276058, 2363344, 4258060, 7476554, 12815234, 21476998, 35244068, 56710659, 89591851, 139128423, 212611297, 320053673, 475043961, 695818283, 1006597679
OFFSET
1,1
COMMENTS
Column 3 of A219883
LINKS
FORMULA
Empirical: a(n) = (1/19958400)*n^11 + (1/907200)*n^10 - (1/72576)*n^9 + (29/120960)*n^8 + (31/28800)*n^7 - (263/10800)*n^6 + (175169/362880)*n^5 - (1469677/362880)*n^4 + (901433/56700)*n^3 + (759737/50400)*n^2 - (837073/3960)*n + 342 for n>4
EXAMPLE
Some solutions for n=3
..1..0..0....2..0..0....0..0..0....1..0..0....2..1..1....1..0..0....1..0..1
..1..0..1....2..0..1....0..0..0....1..0..1....2..1..1....1..0..1....1..0..0
..1..2..1....2..1..2....1..0..0....2..1..1....2..1..2....2..2..2....1..0..0
CROSSREFS
Sequence in context: A094555 A271056 A271255 * A270292 A270899 A270327
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 30 2012
STATUS
approved