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A219910 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array 1
6, 6, 24, 62, 155, 356, 789, 1716, 3676, 7708, 15724, 31125, 59808, 111782, 203708, 362808, 632759, 1082409, 1818433, 3003399, 4881149, 7811931, 12320359, 19160044, 29399646, 44536162, 66642506, 98557873, 144131030, 208528564, 298622262 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A219915

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..196

FORMULA

Empirical: a(n) = (1/39916800)*n^11 - (1/907200)*n^10 + (5/145152)*n^9 - (17/30240)*n^8 + (659/134400)*n^7 + (587/43200)*n^6 - (80861/145152)*n^5 + (10118/2835)*n^4 + (994429/907200)*n^3 - (1059433/12600)*n^2 + (417125/1386)*n - 304 for n>6

EXAMPLE

Some solutions for n=3

..1..1..1....1..0..0....1..1..1....1..0..0....0..0..0....2..1..1....1..1..1

..1..1..1....0..0..0....1..1..1....1..0..0....0..0..0....2..1..1....1..1..1

..2..1..1....0..0..0....1..1..1....2..0..0....1..1..2....2..2..2....2..2..2

CROSSREFS

Sequence in context: A267710 A306896 A087236 * A077193 A056482 A255466

Adjacent sequences:  A219907 A219908 A219909 * A219911 A219912 A219913

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 01 2012

STATUS

approved

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Last modified July 16 04:26 EDT 2019. Contains 325064 sequences. (Running on oeis4.)