A219776 Number of 5Xn 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 5Xn array

6, 10, 56, 283, 1229, 4837, 17259, 57116, 176642, 515209, 1431352, 3813222, 9775422, 24160092, 57653822, 133042327, 297375601, 644960872, 1359688507, 2791062631, 5587702747, 10926837537, 20901070563, 39158211715, 71941484958, 129753179631

Offset

1,1

Comments

Row 5 of A219773

Links

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

Formula

Empirical: a(n) = (1/22230464256000)*n^17 + (1/1307674368000)*n^16 - (1/16144128000)*n^15 + (983/261534873600)*n^14 - (497/8895744000)*n^13 - (9503/14370048000)*n^12 + (9180461/100590336000)*n^11 - (6185839/1828915200)*n^10 + (37785191/508032000)*n^9 - (242129257/285768000)*n^8 - (416078947/171072000)*n^7 + (16333341953/57480192)*n^6 - (1793379350418457/326918592000)*n^5 + (3162447498534721/54486432000)*n^4 - (3078524236602851/9081072000)*n^3 + (103486486753073/151351200)*n^2 + (419755260373/145860)*n - 13291737 for n>19

Example

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

Crossrefs

Sequence in context: A115741 A177168 A136843 * A136848 A136849 A136847

Adjacent sequences: A219773 A219774 A219775 * A219777 A219778 A219779

Keyword

nonn

Author

R. H. Hardin Nov 27 2012

Status

approved