A219351 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX5 array

5, 5, 27, 81, 247, 689, 1880, 4994, 12917, 32349, 78303, 183394, 416639, 920413, 1981261, 4162372, 8546000, 17167884, 33780382, 65167959, 123374673, 229412791, 419339608, 754065406, 1334958446, 2328338561, 4003430115, 6790454936

Offset

1,1

Comments

Column 5 of A219354

Links

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

Formula

Empirical: a(n) = (1/355687428096000)*n^17 - (1/2092278988800)*n^16 + (19/348713164800)*n^15 - (29/6793113600)*n^14 + (126023/498161664000)*n^13 - (1717/149299200)*n^12 + (32628103/80472268800)*n^11 - (40219789/3657830400)*n^10 + (10922716421/48771072000)*n^9 - (6727178041/2090188800)*n^8 + (7270776863/273715200)*n^7 + (16572023747/410572800)*n^6 - (6083517670312783/1307674368000)*n^5 + (55005441509227/792529920)*n^4 - (1033020692778007/1816214400)*n^3 + (10763421135997/3931200)*n^2 - (4735758116819/680680)*n + 6396366 for n>15

Example

Some solutions for n=3
..0..0..1..1..1....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..1..1..1....1..1..1..0..0....0..0..0..1..1

Crossrefs

Sequence in context: A165423 A220078 A302000 * A130220 A081847 A203124

Adjacent sequences: A219348 A219349 A219350 * A219352 A219353 A219354

Keyword

nonn

Author

R. H. Hardin Nov 18 2012

Status

approved