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

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

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

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

Adjacent sequences: A219373 A219374 A219375 * A219377 A219378 A219379

Keyword

nonn

Author

R. H. Hardin Nov 19 2012

Status

approved