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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 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 28 04:53 EDT 2021. Contains 347703 sequences. (Running on oeis4.)