|
| |
|
|
A219797
|
|
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 nonincreasing columns, 0..3 nX3 array
|
|
1
|
|
|
|
10, 10, 71, 255, 958, 3227, 10448, 33171, 104257, 321192, 959643, 2767836, 7715074, 20859416, 54913599, 141165961, 355043898, 874744299, 2113163842, 5009479264, 11662623744, 26685113308, 60050975462, 132996270802, 290066663758
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = (1/8841761993739701954543616000000)*n^29 - (1/60977668922342772100300800000)*n^28 + (1/764131189503042256896000000)*n^27 - (1/254710396501014085632000000)*n^26 - (89/10636258315426961817600000)*n^25 + (13033/14890761641597746544640000)*n^24 - (329653/8361122846886435225600000)*n^23 + (15731/561814578644543078400000)*n^22 + (1147/10176845001523200000)*n^21 - (428870437/58856765381809274880000)*n^20 + (96610883627/462446013714215731200000)*n^19 + (183570887/770926910216601600000)*n^18 - (12249530314366273/46512333274098224332800000)*n^17 + (232584426225439/21888156834869752627200)*n^16 - (24849998333157089/130286647826605670400000)*n^15 - (798271886098853/130286647826605670400000)*n^14 + (92782617073513847/1106330176349798400000)*n^13 - (1566383433261946709/774431123444858880000)*n^12 + (4471826683827896766467/210680466991703654400000)*n^11 - (9718227906795689456303/1158742568454370099200000)*n^10 - (204727186187491063219117/79863209605251072000000)*n^9 + (25933420961680284963641/887368995613900800000)*n^8 - (208927642534743574258367/2715547976773632000000)*n^7 - (247616287429857603924539/230163966692352000000)*n^6 + (22697987799868903204829897/2402505640562227200000)*n^5 - (6387246119388937181778481/2042129794477893120000)*n^4 - (6005949290268904522537/20091792547008000)*n^3 + (5220071206553058221/3439304668800)*n^2 - (391261681814226941/155272637520)*n + 338953 for n>16
|
|
|
EXAMPLE
|
Some solutions for n=3
..3..0..0....2..1..1....0..0..0....1..0..0....3..0..0....2..2..2....1..0..0
..3..0..0....2..0..0....0..0..0....1..0..0....3..0..0....2..2..2....1..0..0
..3..0..0....2..0..0....0..0..0....1..1..1....3..2..2....2..2..2....2..2..3
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
