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A219377
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Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX4 array
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1
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10, 25, 315, 2275, 15256, 88117, 471820, 2391887, 11508779, 52475021, 227321634, 940155612, 3730532377, 14259828254, 52676081028, 188532399603, 655195900069, 2215012029848, 7296267122433, 23450719844938, 73634389866258
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = (1/32327905188896022580370544394201497496149704048640000000000)*n^48 - (1/149666227726370474909122890713895821741433815040000000000)*n^47 + (1/2456527749916111138326029209285828077215023104000000000)*n^46 + (1571/7476388804092512160122697593478607191523983360000000000)*n^45 - (294949/4984259202728341440081798395652404794349322240000000000)*n^44 + (1652977/226557236487651883640081745256927490652241920000000000)*n^43 - (340247/3161263764943979771722070864050151032356864000000000)*n^42 - (632582641/5268772941573299619536784773416918387261440000000000)*n^41 + (5205236441/220297126476932388273315042790951291453440000000000)*n^40 - (68260857631/29655382410356283036792409606474212311040000000000)*n^39 + (328456082167/4349456086852254845396220075616217805619200000000)*n^38 + (39653468878411/2861484267665957135129092155010669608960000000000)*n^37 - (16650599799437419/6032318185890396122704572651103573770240000000000)*n^36 + (266246612902600079/1005386364315066020450762108517262295040000000000)*n^35 - (1215825225928538129/86175974084148516038636752158622482432000000000)*n^34 + (123859420181320931/16129193010402128670333081954822389760000000000)*n^33 + (19784624618853470958401/243730027712743277685033238428427223040000000000)*n^32 - (15368822923061110065089/1692569636894050539479397489086300160000000000)*n^31 + (4945308510840015331857839/8402789261870786387931589470012309504000000000)*n^30 - (831608796604355458877653651/37345730052759050613029286533388042240000000000)*n^29 + (90475390857315106688405357/5203697783565300507656438236179333120000000000)*n^28 + (662779529150507038599794751997/9806968899796143264429441291261050880000000000)*n^27 - (85436532509251512207022043443519/15037352313020753005458476646600278016000000000)*n^26 + (21285123979556945419606949821921637/75186761565103765027292383233001390080000000000)*n^25 - (103856837341129218076114534228567611677/11729134804156187344257611784348216852480000000000)*n^24 + (335143897932265939025784790861629817/3863351384768177649623719296557383680000000000)*n^23 + (2927910312746653834384165830838066927/331144404408700941396318796847775744000000000)*n^22 - (1928426028245916931666220758693496387611/2897513538576133237217789472418037760000000000)*n^21 + (1517444138196238054715512713513237781654121/56018595079138575919543929800082063360000000000)*n^20 - (536204065634052284707393213090726266857321/737086777357086525257156971053711360000000000)*n^19 + (2616970574890777837172806773099955028159143/241292727435615844908182906044142950809600000)*n^18 + (317302631946395328668407914254305384796282213/3696273398217154486951331281313464320000000000)*n^17 - (75616444710428821815605303174511204175309824011/6732497975324102815518496262392381440000000000)*n^16 + (359435597705724778864510250712669749536125805021/906297804370552302089028343014359040000000000)*n^15 - (19988821873148361583172785264125532370449142899/2237772356470499511330934180282368000000000)*n^14 + (307038472104393403555900154635317255946282558781/2288630819117556318406637229834240000000000)*n^13 - (9340583063633628247878798506897191937558716201291079/9295909802629043197297003397091164160000000000)*n^12 - (24351775505405144257298538494560470765787455096836059/2323977450657260799324250849272791040000000000)*n^11 + (3670956144964343347439096594348353306632408580102829/7377706192562732696267463013564416000000000)*n^10 - (596094516928328827527533464377200500281671644869617189/64554929184923911092340301368688640000000000)*n^9 + (1496062337761431061959951437595183571748874815031952927/13478830121481798103076609220962304000000000)*n^8 - (723467545818340040925659593462844760665376223734583127/808729807288907886184596553257738240000000)*n^7 + (7909783917485642362376965609438015813136118214756899751/1931965650745724394774313988337930240000000)*n^6 + (31923179264430782001847735695337077211585515244347661/13799754648183745676959385630985216000000)*n^5 - (387762469069002075607747345732463332113947850442249/1999208597305531308705378366796800000)*n^4 + (53281190030826115148424388000345725263595736223/34951199253593204697646474944000)*n^3 - (410388534374049077112032079714141497580155179/65845212639044437261078416000)*n^2 + (1671700425115600125659587034685043/124011384723729360)*n - 11604668131801676 for n>23
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EXAMPLE
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Some solutions for n=3
..0..0..1..1....1..1..2..2....0..0..1..1....0..0..2..2....1..0..1..0
..1..0..1..1....0..0..0..0....1..0..1..1....0..0..2..2....0..0..0..0
..1..1..1..1....0..0..0..0....2..2..1..1....0..0..2..2....0..0..0..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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