A219522 Number of 5Xn 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 5Xn array

6, 12, 42, 187, 620, 1961, 5799, 16464, 45093, 118742, 300691, 732741, 1722676, 3918437, 8645952, 18545343, 38739703, 78930954, 157075640, 305697694, 582518911, 1088033189, 1994062088, 3589405583, 6351714734, 11059029166

Offset

1,1

Comments

Row 5 of A219519

Links

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

Formula

Empirical: a(n) = (1/355687428096000)*n^17 - (1/5230697472000)*n^16 + (109/5230697472000)*n^15 - (157/130767436800)*n^14 + (90269/1494484992000)*n^13 - (62831/28740096000)*n^12 + (2588519/44706816000)*n^11 - (777397/914457600)*n^10 - (916044737/146313216000)*n^9 + (28686685709/36578304000)*n^8 - (716685223739/28740096000)*n^7 + (706660926553/1437004800)*n^6 - (8639582886817583/1307674368000)*n^5 + (6515834137416997/108972864000)*n^4 - (7822371876601/23648625)*n^3 + (2797376086243/3783780)*n^2 + (3572172253921/1531530)*n - 13927221 for n>21

Example

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

Crossrefs

Sequence in context: A129113 A048025 A120471 * A034529 A121160 A105863

Adjacent sequences: A219519 A219520 A219521 * A219523 A219524 A219525

Keyword

nonn

Author

R. H. Hardin Nov 21 2012

Status

approved