|
| |
|
|
A219934
|
|
Number of nX3 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX3 array
|
|
1
|
|
|
|
10, 64, 368, 2030, 10791, 53712, 248881, 1078041, 4392080, 16934739, 62139295, 217998268, 733954298, 2378538247, 7437225921, 22480974900, 65801147068, 186761554134, 514682627667, 1378834317177, 3595006243342, 9132194332718
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = (1/1473626998956616992423936000000)*n^29 + (1/4690589917103290161561600000)*n^28 + (149/5444434725209176080384000000)*n^27 + (727/372269041039943663616000000)*n^26 + (257/2737272360587821056000000)*n^25 + (373/104131200290893332480000)*n^24 + (156197/1357230878791461273600000)*n^23 + (19749311/6179960365089973862400000)*n^22 + (14627/178714874641121280000)*n^21 + (104746249/58856765381809274880000)*n^20 + (6600793769/202320130999969382400000)*n^19 + (105609824717/170374847157868953600000)*n^18 + (18939867559267/1938013886420759347200000)*n^17 + (5525126593241/42092609297826447360000)*n^16 + (3074008562393/1526796654218035200000)*n^15 + (18030166737259/911095439346892800000)*n^14 + (18445284079921333/85187423578934476800000)*n^13 + (40443266246311/11914324976074752000)*n^12 + (498150394695148999/70226822330567884800000)*n^11 + (33604794138440848937/1158742568454370099200000)*n^10 + (76145565298508555581/20598203382349824000000)*n^9 - (249281479451203052857/16860010916664115200000)*n^8 - (2212331371442553524239/969450627708186624000000)*n^7 + (12236485164217201891001/13464592051502592000000)*n^6 - (47853268760842511817121/19144966823230248000000)*n^5 - (53460295259051443289/7140313966705920000)*n^4 + (8433409790879248237/109673995406976000)*n^3 - (103843226648515/539706271104)*n^2 + (279028243525943/1164544781400)*n - 120 for n>2
|
|
|
EXAMPLE
|
Some solutions for n=3
..1..0..1....1..0..0....2..1..1....2..0..0....2..0..0....1..0..0....2..0..0
..3..0..0....1..0..0....0..0..2....2..0..0....1..1..1....2..0..0....2..0..0
..3..2..2....3..1..1....0..0..0....2..0..0....1..1..1....3..1..1....3..3..2
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
