A219629 Number of 3Xn 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..2 3Xn array

10, 27, 130, 582, 2109, 6637, 19166, 51491, 130209, 312797, 719186, 1591856, 3407212, 7077248, 14307047, 28216156, 54398922, 102703127, 190166090, 345789073, 618191311, 1087715590, 1885328230, 3221762398, 5431921305

Offset

1,1

Comments

Row 3 of A219627

Links

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

Formula

Empirical: a(n) = (1/20922789888000)*n^16 + (1/523069747200)*n^15 - (127/1046139494400)*n^14 + (79/18681062400)*n^13 + (8441/114960384000)*n^12 - (18343/2874009600)*n^11 + (1687829/7315660800)*n^10 - (3838547/914457600)*n^9 + (5697677311/146313216000)*n^8 + (12383887/74649600)*n^7 - (52929867649/5748019200)*n^6 + (86740702999/718502400)*n^5 - (117558072292519/145297152000)*n^4 + (9685884755689/3632428800)*n^3 - (248063317553/201801600)*n^2 - (269195161/16016)*n + 33755 for n>9

Example

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

Crossrefs

Sequence in context: A267217 A179546 A119548 * A262316 A362737 A262919

Adjacent sequences: A219626 A219627 A219628 * A219630 A219631 A219632

Keyword

nonn

Author

R. H. Hardin Nov 24 2012

Status

approved