A219294 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX3 array

6, 17, 77, 261, 800, 2361, 6647, 17675, 44508, 106958, 246970, 550538, 1188820, 2493637, 5093382, 10153065, 19790653, 37786838, 70775454, 130209424, 235560181, 419452123, 735792808, 1272482264, 2171035995, 3656523015, 6082717651

Offset

1,1

Comments

Column 3 of A219299

Links

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

Formula

Empirical: a(n) = (1/20922789888000)*n^16 - (1/871782912000)*n^15 - (1/149448499200)*n^14 + (19/6227020800)*n^13 - (10039/114960384000)*n^12 + (5419/4790016000)*n^11 + (186413/7315660800)*n^10 - (332027/304819200)*n^9 + (51942799/2985984000)*n^8 - (56169313/870912000)*n^7 - (9779259841/5748019200)*n^6 + (6929296879/239500800)*n^5 - (9044060349853/48432384000)*n^4 + (7540958656897/18162144000)*n^3 + (6878088769/5765760)*n^2 - (1129882643/144144)*n + 11170 for n>7

Example

Some solutions for n=3
..1..1..1....0..0..2....0..0..0....0..0..1....1..1..2....0..0..0....1..1..1
..1..1..1....0..1..1....0..0..2....0..1..0....1..1..2....0..0..0....1..1..1
..2..2..2....1..1..1....1..2..2....1..0..0....1..2..2....1..1..1....1..2..2

Crossrefs

Sequence in context: A219847 A047156 A128243 * A338747 A154494 A130278

Adjacent sequences: A219291 A219292 A219293 * A219295 A219296 A219297

Keyword

nonn

Author

R. H. Hardin Nov 17 2012

Status

approved