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

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

Offset

1,1

Comments

Row 4 of A219519

Links

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

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

Adjacent sequences: A219518 A219519 A219520 * A219522 A219523 A219524

Keyword

nonn

Author

R. H. Hardin Nov 21 2012

Status

approved