A219622 Number of nX3 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 nX3 array

6, 24, 130, 566, 2134, 7259, 22715, 66250, 181791, 472662, 1171147, 2778770, 6339690, 13957189, 29741892, 61507243, 123727812, 242584792, 464390356, 869376931, 1593851835, 2865176320, 5056094746, 8767828033, 14955331206

Offset

1,1

Comments

Column 3 of A219627

Links

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

Formula

Empirical: a(n) = (1/20922789888000)*n^16 + (1/290594304000)*n^15 + (1/13586227200)*n^14 + (19/12454041600)*n^13 + (5681/114960384000)*n^12 + (727/1197504000)*n^11 + (2225/292626432)*n^10 + (18871/203212800)*n^9 + (11673913/20901888000)*n^8 + (1640347/124416000)*n^7 - (546743053/5748019200)*n^6 + (21980969/29937600)*n^5 + (27582691091/13208832000)*n^4 - (569796798931/18162144000)*n^3 + (572483759/4118400)*n^2 - (176846477/720720)*n + 146 for n>3

Example

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

Crossrefs

Sequence in context: A274072 A224662 A200160 * A052170 A027224 A110707

Adjacent sequences: A219619 A219620 A219621 * A219623 A219624 A219625

Keyword

nonn

Author

R. H. Hardin Nov 24 2012

Status

approved