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A219376
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 columns, 0..2 nX3 array
1
6, 14, 84, 344, 1271, 4116, 12452, 35741, 97942, 256627, 644220, 1553493, 3608625, 8096762, 17592376, 37102211, 76113986, 152179500, 297049058, 566965708, 1059617705, 1941564060, 3491864902, 6170398463, 10723237448, 18342891239
OFFSET
1,1
COMMENTS
Column 3 of A219381
LINKS
FORMULA
Empirical: a(n) = (1/10461394944000)*n^16 + (1/261534873600)*n^15 - (43/523069747200)*n^14 + (37/9340531200)*n^13 + (3161/57480192000)*n^12 - (3877/1437004800)*n^11 + (330221/3657830400)*n^10 - (286723/228614400)*n^9 + (588676351/73156608000)*n^8 + (6080057/52254720)*n^7 - (9539004331/2874009600)*n^6 + (28480226939/718502400)*n^5 - (57210329051177/217945728000)*n^4 + (810763395331/908107200)*n^3 - (144144166781/302702400)*n^2 - (2133172367/360360)*n + 12653 for n>6
EXAMPLE
Some solutions for n=3
..1..1..2....0..0..1....1..1..1....1..1..1....0..0..0....2..2..2....0..0..1
..1..1..1....0..0..1....0..1..0....1..1..1....0..0..0....2..2..2....0..0..0
..1..1..1....2..0..0....0..0..0....2..1..2....2..0..2....2..2..2....1..0..0
CROSSREFS
Sequence in context: A056842 A182752 A200033 * A130263 A213681 A308489
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 19 2012
STATUS
approved