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A219775
Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 4Xn array
1
5, 8, 29, 100, 291, 771, 1887, 4278, 9072, 18147, 34592, 63333, 111962, 191826, 319428, 518191, 820642, 1271077, 1928772, 2871809, 4201590, 6048116, 8576112, 11992083, 16552390, 22572439, 30437080, 40612317, 53658434, 70244646, 91165388
OFFSET
1,1
COMMENTS
Row 4 of A219773
LINKS
FORMULA
Empirical: a(n) = (1/10080)*n^8 + (1/1680)*n^7 - (1/48)*n^6 + (41/120)*n^5 - (571/480)*n^4 - (593/240)*n^3 + (19457/252)*n^2 - (43041/70)*n + 1735 for n>9
EXAMPLE
Some solutions for n=3
..0..0..0....0..0..0....0..0..1....0..0..1....0..0..1....0..0..0....0..0..1
..0..0..0....0..0..1....0..0..0....0..0..1....0..0..1....0..0..0....0..0..0
..0..0..1....0..0..1....0..0..0....0..0..1....1..1..1....1..0..1....0..0..0
..0..0..1....1..0..0....0..0..1....0..0..1....1..1..1....1..1..1....0..0..0
CROSSREFS
Sequence in context: A026539 A126700 A076593 * A129774 A228472 A361578
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2012
STATUS
approved