A219383 Number of 3Xn 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..2 3Xn array

10, 23, 84, 315, 957, 2792, 7472, 18910, 45821, 106497, 238299, 515292, 1080657, 2205286, 4390769, 8547511, 16297421, 30480517, 55990723, 101135570, 179818410, 314994970, 544079375, 927296441, 1560435245, 2594104692, 4262492403

Offset

1,1

Comments

Row 3 of A219381

Links

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

Formula

Empirical: a(n) = (1/20922789888000)*n^16 - (1/237758976000)*n^15 + (269/1046139494400)*n^14 - (61/7472424960)*n^13 + (1943/16422912000)*n^12 + (21517/7185024000)*n^11 - (1297279/7315660800)*n^10 + (266365/73156608)*n^9 - (3097589969/146313216000)*n^8 - (1214098793/2612736000)*n^7 + (8357493713/821145600)*n^6 - (827698471/13063680)*n^5 - (92069549514517/435891456000)*n^4 + (89775326103539/18162144000)*n^3 - (14226973583203/605404800)*n^2 + (20337873821/720720)*n + 39675 for n>16

Example

Some solutions for n=3
..0..1..0....0..0..1....1..1..2....1..1..2....1..1..1....1..1..1....0..0..0
..0..0..0....1..0..0....1..1..2....2..1..2....1..1..1....1..1..1....0..0..0
..0..2..0....2..0..1....1..1..2....2..2..2....2..2..2....1..1..2....2..0..1

Crossrefs

Sequence in context: A164578 A219472 A196890 * A250188 A177126 A300150

Adjacent sequences: A219380 A219381 A219382 * A219384 A219385 A219386

Keyword

nonn

Author

R. H. Hardin Nov 19 2012

Status

approved