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

10, 13, 114, 498, 2266, 9146, 34529, 123778, 426832, 1420589, 4571166, 14240419, 43032598, 126404575, 361626231, 1009254323, 2751621249, 7337716297, 19160926188, 49048774496, 123209253195, 304005916411, 737455279792

Offset

1,1

Comments

Column 3 of A219460

Links

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

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

Sequence in context: A219804 A377089 A108761 * A164766 A075828 A153584

Adjacent sequences: A219452 A219453 A219454 * A219456 A219457 A219458

Keyword

nonn

Author

R. H. Hardin Nov 20 2012

Status

approved