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

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A219772 A219773 A219774 * A219776 A219777 A219778

Keyword

nonn

Author

R. H. Hardin Nov 27 2012

Status

approved