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A219288
Number of nX5 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX5 array
1
5, 12, 79, 423, 1751, 6546, 22970, 76311, 240506, 721669, 2070006, 5692328, 15039421, 38255848, 93891578, 222815518, 512310486, 1143423966, 2481561322, 5245536144, 10815752321, 21783909864, 42913710064, 82788030040, 156582776591
OFFSET
1,1
COMMENTS
Column 5 of A219291
LINKS
FORMULA
Empirical: a(n) = (1/731867136000)*n^17 - (1/5419008000)*n^16 + (503/36324288000)*n^15 - (2087/3321077760)*n^14 + (4063429/249080832000)*n^13 - (230903/4257792000)*n^12 - (1001500007/67060224000)*n^11 + (582506191/812851200)*n^10 - (154575523979/8128512000)*n^9 + (754768201963/2322432000)*n^8 - (31748696208149/9580032000)*n^7 + (147171415529/19353600)*n^6 + (77810053798256237/217945728000)*n^5 - (73876088160824137/11176704000)*n^4 + (1127005910876695111/18162144000)*n^3 - (10107497533814981/28828800)*n^2 + (1989207040361119/1750320)*n - 1636876189 for n>14
EXAMPLE
Some solutions for n=3
..0..0..0..0..0....0..0..0..0..1....0..0..1..1..1....0..0..1..1..1
..0..0..0..0..0....0..0..0..0..0....0..0..0..1..1....0..0..0..1..1
..1..1..1..1..0....1..1..0..0..1....0..0..0..0..1....1..0..0..0..1
CROSSREFS
Sequence in context: A074245 A235939 A215866 * A377250 A368074 A064371
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 17 2012
STATUS
approved