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A219212 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX3 array 1
6, 7, 37, 113, 345, 955, 2508, 6303, 15251, 35567, 80116, 174791, 370485, 765038, 1542719, 3044020, 5887082, 11175742, 20850733, 38274020, 69187496, 123264742, 216590254, 375571230, 643035886, 1087631035, 1818143164, 3005088770 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A219217

LINKS

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

FORMULA

Empirical: a(n) = (1/20922789888000)*n^16 - (1/201180672000)*n^15 + (317/1046139494400)*n^14 - (409/37362124800)*n^13 + (28001/114960384000)*n^12 - (1031/513216000)*n^11 - (342367/7315660800)*n^10 + (3153317/1828915200)*n^9 - (2891026769/146313216000)*n^8 - (68017459/2612736000)*n^7 + (19662024383/5748019200)*n^6 - (4114129211/102643200)*n^5 + (80159944394683/435891456000)*n^4 + (166453839809/1397088000)*n^3 - (2770211114939/605404800)*n^2 + (3811038289/240240)*n - 15029 for n>11

EXAMPLE

Some solutions for n=3

..0..0..2....0..0..0....0..0..2....1..1..1....0..0..1....1..1..2....0..0..1

..0..0..1....0..0..0....0..0..2....1..0..0....0..0..1....1..1..1....0..0..0

..1..1..1....1..0..0....1..1..2....1..0..0....0..0..1....1..1..1....0..0..0

CROSSREFS

Sequence in context: A013627 A248850 A294728 * A301904 A152119 A041080

Adjacent sequences:  A219209 A219210 A219211 * A219213 A219214 A219215

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 14 2012

STATUS

approved

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Last modified August 2 02:53 EDT 2021. Contains 346409 sequences. (Running on oeis4.)