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A186176
Number of (n+2)X7 0..5 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order
1
16382439469, 1414199542732, 69471558136868, 2391923493659465, 63117570540037053, 1345005095452611398, 23974440869491730184, 366735655207529538678, 4909755021412940860546, 58427464010453596260035
OFFSET
1,1
COMMENTS
Column 5 of A186180
LINKS
FORMULA
Empirical: a(n) = (158042769737/10402155476476057900187202145322445979424001629589150036811695812434315588080866838341222400000000000000000)*n^75
+ (1159987973371/35614615003438699529064710187473490756425845372624350901228674293218263964359557004656640000000000000000)*n^74
+ (3366590075838023/98244295857421633865741915123627496924764850555668242105913848183965320968509523450920960000000000000000)*n^73
+ (18763265307189749/795252706193325803396416498510060684945170023177887389400298895636082921911969990574080000000000000000)*n^72
+ (44386473182085544261/3711179295568853749183276993046949863077460108163474483868061512968386968922526622679040000000000000000)*n^71
+ (97879448954447260777/20534694291376957364696200665752740691072465387222444327237764910790873570496877690880000000000000000)*n^70
+ (2695027615175193244259/1726640961437101520154635491414644862913000092619304628116088340847280660582320046080000000000000000)*n^69
+ (5432763335443040562517427/12499379133881626221988991709588624768478891974831053068753422119611836086389403811840000000000000000)*n^68
+ (53879698742763610758931/508242577956693936920127068701082601049561885666754665305777532648895476540637184000000000000000)*n^67
+ (2484383309696961811524469/106889551673388819840732287175940031428333910825436869908270715821680866843688960000000000000000)*n^66
+ (25660213696355875378637349269/5486996985900626085157590741698254946654474089039092655291230078846284497976033280000000000000000)*n^65
+ (26375203042314573109332592927/30148335087366077390975773306034367838760846643071937666435330103551013725143040000000000000000)*n^64
+ (838490132125759814063403774472721/5486996985900626085157590741698254946654474089039092655291230078846284497976033280000000000000000)*n^63
+ (3100211309800931275938707811356783/124704476952286956480854335038596703333056229296343014892982501791961011317637120000000000000000)*n^62
+ (1986745106151186959328319783128227/530469239073889924767902169607642835872624867620034093837571790678316957040640000000000000000)*n^61
+ (323029430493256566347630424143577263/621779517930870977391885329949942012539224230079220290317809557926223974236160000000000000000)*n^60
+ (2173370597107268455650093178176644998817/32885227837232731693170824117352488663185637057523206465697483285875845748490240000000000000000)*n^59
+ (76584713574611230725805551561039969929/9953156125070439374446375338181745963433909521042132707535557895240873410560000000000000000)*n^58
+ (47255821237388638033810995361263113700271/57659663069373579824379001959121838684720579294313044650550818151740232171520000000000000000)*n^57
+ (69822083979931885644717198670381736905451/873631258626872421581500029683664222495766352944137040159860881086973214720000000000000000)*n^56
+ (882908443403007034613839257964691094059171759/123556420862943385337955004198118225752972669916385095679751753182300497510400000000000000000)*n^55
+ (3625413745629898776034283102198213541018846289/6177821043147169266897750209905911287648633495819254783987587659115024875520000000000000000)*n^54
+ (58820092686917631785465377750171554500526603578999/1326172250595592335960717045059802289748573323769200026962668817490025339944960000000000000000)*n^53
+ (5519172345576285587253567750887261303389866247/1785508629639353013510367052165896488617276690653282064246627789313146880000000000000000)*n^52
+ (57642741415417039880104701680088607985508297311/289627959531517155489203924682881605105476254633598338407207003257569280000000000000000)*n^51
+ (311721306158543040292739743980849153755152340638697/26283737327485181860645256164971505663321970107999049210454035545624412160000000000000000)*n^50
+ (2270844254677307127847240792156821344473599034534273/3465987339888155849755418395380857889668831223032841654125806885137285120000000000000000)*n^49
+ (108157080272696502299711189135913051560412807750069851/3218416815610430431915745652853653754692486135673352964545392107627479040000000000000000)*n^48
+ (977282814555277533505785073456923214939637404998969317213/609782705997656219166969943027338931389069706505577941682533624658486362112000000000000000)*n^47
+ (651600368926769124788192666561644248015551230040825309/9157326459351854030764112459413165590258384289822704171259980907806720000000000000000)*n^46
+ (257454245343539485168815433079985625683192068220549406708849/87434153033891502285735745762476905055787053199227179427190297707738562560000000000000000)*n^45
+ (4970175844365117606892005058358383965081771843332403635927047/43717076516945751142867872881238452527893526599613589713595148853869281280000000000000000)*n^44
+ (10445840758945251370676992592425197325597667215963002831314976817/2548081031273409495184298876506469804482936978948906371878117247482666680320000000000000000)*n^43
+ (93042408649332089031481645386373790865709696350277224299746561/673382936383036335936654037131730920846442119172543967198233944894996480000000000000000)*n^42
+ (676025273551997841196366360697987168906427681035430590729735999/155182898919547468364002576458341282170373492484207663222638275366748160000000000000000)*n^41
+ (264697374640226685075247260595985138896315534478349776296569523/2058845750875797288667415581529856196042210634673888858086463315640320000000000000000)*n^40
+ (443441699134743958273377091705885982651059349819708407657663354514513/124778405577578570476977388734198464617334217725045708133188195707697233920000000000000000)*n^39
+ (957219729268518158492238989625689230665722130346960735751735162887037/10398200464798214206414782394516538718111184810420475677765682975641436160000000000000000)*n^38
+ (616721364106583255364896763827642173001442958020267338001120498929/275875113020578296744517224324099837683075370402952849470642727157760000000000000000)*n^37
+ (3344601743550932414603144132080176326612184154465669896386194326469583/65695896232491349847478442646998138619165084797321362653486238526341120000000000000000)*n^36
+ (11056565722763715611303623778223287992237665410118937442336860316129566099/10166761980685058405318109972381035471603145720840369700836081128806809600000000000000000)*n^35
+ (3165200770980435737079042516157150258699940779358622568841454364277051557/145239456866929405790258713891157649594330653154862424297658301840097280000000000000000)*n^34
+ (282359065354422865362922968840304522676473333220575189033080557752045845307/689233188330225806306475473352858485800123167111025063052175770218659840000000000000000)*n^33
+ (292076325298420160533133712546364723070754066680257440915248946282160901641/40435985150451936839333391935606391080239784116978743128325322671390720000000000000000)*n^32
+ (33011286222669187777411048013625590543666206124564470380363828860715915663419/276436792491684093553691644868534936255924975749022882169910673654415360000000000000000)*n^31
+ (2813291911393019320355592124372406524169070768334943362978522237178428794936467/1520402358704262514545304046776942149407587366619625851934508705099284480000000000000000)*n^30
+ (154408202094926649346496712331368779280242275615088874588136916847125742105471343/5749567540387383532016149786087516863851680961124792014786820275605340160000000000000000)*n^29
+ (11524869126773516811436344447670665809146307894864063469749567330610007434854339/31591030441688920505583240582898444306877367918268087993334177338490880000000000000000)*n^28
+ (22647561083529047354149262425855721523566666512063225148634589556324514869197401667/4887132409329276002213727318174389334273928816956073212568797234264539136000000000000000)*n^27
+ (61073704803301558000770176578467671252686810454004809118904437728682850540210485241/1110711911211199091412210754130543030516802003853653002856544825969213440000000000000000)*n^26
+ (1915397091504935085749417830543162522861262847510480988817768705853431554456842427/3146762797902607315985830604937149725880362819983735327461021570826240000000000000000)*n^25
+ (178646261550209164176372909910500127906297704784423113296457806021706594104605396277/28457680954945318335871859383779440999265889850287693396169238553559040000000000000000)*n^24
+ (166629913700634373688395463724585116741504059164076721062818717567792003182479072063/2766718981730794838209764106756334541595294846555747969072009303818240000000000000000)*n^23
+ (2043735721715757362300662846746985189713537506334362745945161430499058922544837802723/3808730026798237050003051887223005992325990308245575126254973846814720000000000000000)*n^22
+ (8751968972637827760291177504991662579121800752042346706256882984787180471707687133997/1974897050932419211112693571152669773798661641312520435835912365015040000000000000000)*n^21
+ (1103270730385198845547040796063672386799540011477510228137542898224473723535309868592863/32585801340384916983359443924019051267677917081656587191292554022748160000000000000000)*n^20
+ (105329154479339926919388183478602405379507897650920922752993916846373020546998204698051/441170979865155271950244572267298079721129596343623262627210115153920000000000000000)*n^19
+ (341906574025341822240861704570194206100339198999998158452164181238037910073619470453839/220585489932577635975122286133649039860564798171811631313605057576960000000000000000)*n^18
+ (23378193448864385989119018473227739885604911991493283082104461030512262065975036093755339/2530605759504293434936819560366584818400368379026616770347746910535680000000000000000)*n^17
+ (723743852920373817890343628152516624135360545470991052584651746754618242888797304019/14364077737627675931663901782118931173374173434671105998250311680000000000000000)*n^16
+ (289100043909410724456070161831001599983710906079912297954618313836747473376039113792770113/1153881050159775001317883340242383268613786797053272644851367044710400000000000000000)*n^15
+ (939661100196469564835695443673384547906620360937409971264390891074795381023642886038856103/830794356115038000948876004974515953401926493878356304292984272191488000000000000000)*n^14
+ (1169738272048137337878286645927538735417774901351896649484461066338508550203876238467901/253600230804346154135798536317007311783249845506213768099201548288000000000000000)*n^13
+ (63297917284624466385907699603212892150627299673175252508415454057218651442554504223849/3746367045973295458824296559228517105888918172250885210556386508800000000000000)*n^12
+ (547034676793217768034362628082256593236623052832474696215412924335355218748261722406061/9907059521573825768890917567737634124461805833285674223471333212160000000000000)*n^11
+ (35519649230293481997286118315360525428475713911093114284179849067032640944106754136201/222403377014922619301632843357375459936897681971719217261601357824000000000000)*n^10
+ (1798771719559089604237338674975832044440190891114495601480216493481697191733142092869957/4442713384925870915567987928325942752480213510053583697409062679347200000000000)*n^9
+ (10577677138663893506138633051661102233399593101496392017445012159540488504799202093747/11900125138194297095271396236587346658429143330500670618059989319680000000000)*n^8
+ (507031118359405738478154614438665174116722657453376512275257258584653719840010181/304662701950698850365371127408790237030956050448045842756272128000000000)*n^7
+ (126792074270621629737811282297020308367762136051171838408958075912918784769129/48673179553038880443859539010886916862294565882753149481779200000000)*n^6
+ (9102382659405457812329277626009260964440589158786682072715499287404323499749/2742695038306159136122243864899183410494376331488471121592320000000)*n^5
+ (788076911787352504603693959425565949681326597238037158261218646266443/237843323196435434021034856194082255461064658560924416000000)*n^4
+ (2869490297666995488734967632482193433226947397782136762907427414613/1174486614477027482592102283614820004571206440464476160000)*n^3
+ (327765885267227130082830798172189035425296112605776063491/274196023554429065281222691122334875925963040000)*n^2
+ (31463640692764600400357277734184211619849/102638795110107540859565735144400)*n
+ 4298482
EXAMPLE
Some solutions for 4X7
..0..0..0..0..0..0..2....0..0..0..0..0..0..1....0..0..0..0..0..0..0
..0..0..0..0..0..0..3....0..0..0..0..0..0..4....0..0..0..0..0..1..2
..0..0..0..0..0..5..5....0..0..0..0..0..5..3....0..0..0..0..0..4..0
..0..0..0..0..3..2..1....0..0..0..0..3..1..0....0..0..0..0..3..2..0
CROSSREFS
Sequence in context: A349324 A022241 A186016 * A233805 A227894 A308683
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 13 2011
STATUS
approved