|
| |
|
|
A219455
|
|
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..3 nX3 array
|
|
1
|
|
|
|
10, 13, 114, 498, 2266, 9146, 34529, 123778, 426832, 1420589, 4571166, 14240419, 43032598, 126404575, 361626231, 1009254323, 2751621249, 7337716297, 19160926188, 49048774496, 123209253195, 304005916411, 737455279792
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = (1/523022617466601111760007224100074291200000000)*n^38 - (1/1835167078830179339508797277544120320000000)*n^37 + (1/13052397431224604121684191163187200000000)*n^36 - (1/286038698031450378675893462630400000000)*n^35 - (37/61936950847469400177822085939200000000)*n^34 + (73/542707351175742905969887150080000000)*n^33 - (627727/52349187558387449685899162419200000000)*n^32 + (109867763/331544854536453848010694695321600000000)*n^31 + (1031304671/21389990615255086968431915827200000000)*n^30 - (3294312023/475333124783446377076264796160000000)*n^29 + (158989014859/386354510291963804027505868800000000)*n^28 - (792463537289/128784836763987934675835289600000000)*n^27 - (806849778041117/811344471613123988457762324480000000)*n^26 + (199107776854193/2163585257634997302554032865280000)*n^25 - (30053792975529481/8195398703162868570280427520000000)*n^24 + (2577196210597621243/90149385734791554273084702720000000)*n^23 + (4017548542173691423/798787069013485517600194560000000)*n^22 - (211557927139735877881/692282126478354115253501952000000)*n^21 + (102168486027567247335634673/12429925580918848139376627548160000000)*n^20 - (497942248403045328214361/12827580578863620370873712640000000)*n^19 - (430365588857008066363004411/78906498955509770044519219200000000)*n^18 + (2571386154552179953641662851/11758615530624985339967569920000000)*n^17 - (556687640864193869732852109319/144882941359486426510314700800000000)*n^16 + (237884260288420046952228355807/24147156893247737751719116800000000)*n^15 + (19394021882894674627364446121/17497134756562931063193600000000)*n^14 - (656431517076348368161734186083459/25354514737910124639305072640000000)*n^13 + (1251703479790275164991873316594261/5762389713161391963478425600000000)*n^12 + (91394818760986388458956202750657/71140613742733234117017600000000)*n^11 - (1164010097262800455071464434863271/25505082674249140253491200000000)*n^10 + (11156003137595976425964358292572169/44208809968698509772718080000000)*n^9 + (20788452159567313575135679124431484827/4885482842374228834605465600000000)*n^8 - (51535957390571621308641242367449648447/610685355296778604325683200000000)*n^7 + (291032032655902999284261030177117517507/519082552002261813676830720000000)*n^6 - (148947822441612619024647745488341531/5767583911136242374187008000000)*n^5 - (18301704965984237487488760331732289/749036871576135373271040000)*n^4 + (29570986315792844023734180838049/180309120871356116640000)*n^3 - (185460651696497436528293400529189/414598230598090803264000)*n^2 + (141115528621920870078053/410994727466400)*n + 326475495 for n>23
|
|
|
EXAMPLE
|
Some solutions for n=3
..1..1..3....0..0..1....0..0..1....1..1..1....2..1..1....0..0..0....0..0..0
..1..1..2....0..0..0....0..0..1....1..1..1....0..0..0....0..0..0....0..0..0
..1..1..2....2..0..0....1..1..1....3..1..1....0..0..0....2..2..2....3..1..1
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
