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A219521 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 4Xn array 1
5, 9, 22, 68, 166, 380, 821, 1700, 3374, 6430, 11784, 20830, 35631, 59161, 95611, 150769, 232486, 351241, 520819, 759117, 1089094, 1539882, 2148076, 2959222, 4029523, 5427784, 7237618, 9559936, 12515745, 16249279, 20931489, 26763919 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A219519
LINKS
FORMULA
Empirical: a(n) = (1/40320)*n^8 - (1/3360)*n^7 + (7/576)*n^6 - (7/60)*n^5 + (1567/5760)*n^4 + (2201/160)*n^3 - (116111/672)*n^2 + (251961/280)*n - 1757 for n>9
EXAMPLE
Some solutions for n=3
..0..0..1....0..0..0....0..0..1....0..0..1....0..0..1....0..0..0....0..0..1
..0..0..1....0..0..0....0..0..0....0..0..1....1..0..1....0..0..0....0..0..1
..0..0..1....0..0..1....0..0..0....0..0..0....1..1..1....0..0..0....1..0..1
..1..0..1....1..0..0....0..1..0....0..0..0....1..1..1....1..1..1....1..1..1
CROSSREFS
Sequence in context: A063404 A102177 A299266 * A215178 A058893 A263830
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 21 2012
STATUS
approved

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Last modified July 21 22:02 EDT 2024. Contains 374476 sequences. (Running on oeis4.)