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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 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 17 06:41 EDT 2019. Contains 327119 sequences. (Running on oeis4.)