Column 1 and Row 1
Number of (n+2)X3 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

Empirical: a(n) = (1/295232799039604140847618609643520000000)*n^34
                + (1/36561337342365837875866081689600000)*n^33
                + (1151/78939251080108059050165403648000000)*n^32
                + (57793/15180625207713088278877962240000000)*n^31
                + (8146051/12732137270985170814542807040000000)*n^30
                + (15252793/195879034938233397146812416000000)*n^29
                + (917629/125082397789421070974976000000)*n^28
                + (40844936773/73173202706811326520360960000000)*n^27
                + (10326664514897/292692810827245306081443840000000)*n^26
                + (1699793021071/900593264083831711019827200000)*n^25
                + (21419403120091/247663147623053720530452480000)*n^24
                + (3257433593147959/952550567780975848194048000000)*n^23
                + (149148353528547551/1272577438379327417745408000000)*n^22
                + (888681424414566953/254515487675865483549081600000)*n^21
                + (11531836957656612161/127257743837932741774540800000)*n^20
                + (5909972330146165909/2879134475971328999424000000)*n^19
                + (185196564663366054480883/4554487674199698126667776000000)*n^18
                + (223744365124534317893/317054484803320440422400000)*n^17
                + (631124705896508562289697/58734343309815111588249600000)*n^16
                + (7215220158705833717523107/50233319936026082279424000000)*n^15
                + (44200951728497459126549888033/26246909666573627990999040000000)*n^14
                + (1394814879695359558279349521/80759722050995778433843200000)*n^13
                + (32548509299450082036607825951/211076546269648057270272000000)*n^12
                + (48337137666188129039919297713/40591643513393857167360000000)*n^11
                + (18053107623124660173941442743743/2286662584587853953761280000000)*n^10
                + (2266224377869928249871300899693/50814724101952310083584000000)*n^9
                + (902210285827865272553906095027/4234560341829359173632000000)*n^8
                + (57964514565563064206413856761/67861543939573063680000000)*n^7
                + (2023140467628393995969236886677/710661168478306805760000000)*n^6
                + (25417310330253175708558630751/3279974623746031411200000)*n^5
                + (61858293620765291251250539109/3728237822324655704064000)*n^4
                + (12364083190538430205351213/471396394434917952000)*n^3
                + (8255316109684330210707767/294877831150846944000)*n^2
                + (1418176238189177/80224196052)*n
                + 2040

Column 2 and Row 2
Number of (n+2)X4 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

Empirical: a(n) = (1/1037743288624208555079379412896972800000000)*n^38
                + (9587/13763753091226345046315979581580902400000000)*n^37
                + (28529/33817575162718292497090858922803200000000)*n^36
                + (50210497/123997775596633739155999816050278400000000)*n^35
                + (1900280537/17713967942376248450857116578611200000000)*n^34
                + (9810978167/520999057128713189731091664076800000000)*n^33
                + (57089921089/23681775324032417715049621094400000000)*n^32
                + (4087992351929/17148871786368302483311794585600000000)*n^31
                + (303453087639563/16042492961441315226323936870400000000)*n^30
                + (4412111988180881/3564998435875847828071985971200000000)*n^29
                + (1012607727773101/14859788857383223231827148800000000)*n^28
                + (619636013553448457/193177255145981902013752934400000000)*n^27
                + (458949578768601001/3512313729926943672977326080000000)*n^26
                + (943289164621422777259/202836117903280997114440581120000000)*n^25
                + (59070867116817962298787/405672235806561994228881162240000000)*n^24
                + (1393933770239512745891/345841633253676039410810880000000)*n^23
                + (64202052337199276920051/649014493573456983050158080000000)*n^22
                + (11193762585634106524077107/5192115948587655864401264640000000)*n^21
                + (1372508760873429144032358479/32883401007721820474541342720000000)*n^20
                + (234715009337204557947402530761/327103304761022319457279672320000000)*n^19
                + (196919620544266318182437509750193/17990681761856227570150381977600000000)*n^18
                + (26104076532588252567987652718051/176379232959374780099513548800000000)*n^17
                + (897593478835185195052329498839/506583711047155337448652800000000)*n^16
                + (339711053666750838203318321424907/18110367669935803313789337600000000)*n^15
                + (6349701573494460077791558378539673/36220735339871606627578675200000000)*n^14
                + (548749037509303811220820318146454901/380317721068651869589576089600000000)*n^13
                + (45039178838637375189325633152939223/4321792284871043972608819200000000)*n^12
                + (63110030791198126365586351934048441/960398285526898660579737600000000)*n^11
                + (1429109394382916914750784172458483471/3978792897182865879544627200000000)*n^10
                + (124266834396427914505767245501957821/73681349947830849621196800000000)*n^9
                + (10567048538735385404340116838466697759/1570333770763144982551756800000000)*n^8
                + (2427874275387519655050037351600570741/107768003875902106645708800000000)*n^7
                + (8832810953454457317486336954522298211/141567968727889585548226560000000)*n^6
                + (485730805911773470277068599637126553/3460550346681745424512204800000)*n^5
                + (324665650575170794206768040559/1305907478973608797440000)*n^4
                + (92093319388923975529326424091/281862533775913009920000)*n^3
                + (1599179967649434547569863507/5552654874081573258000)*n^2
                + (8435127242640643/58220894160)*n
                + 10524

Column 3 and Row 3
Number of (n+2)X5 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

Empirical: a(n) = (73/780558954307155499190634781246950872186880000000)*n^42
                + (13457/180824468179263822206324659748328387379200000000)*n^41
                + (3900581/135985880541316289057601878266019315712000000000)*n^40
                + (34573607/3547457753251729279763527259113547366400000000)*n^39
                + (783095609/261511308733300555880003612050037145600000000)*n^38
                + (157680394517/220220049459621520741055673305294438400000000)*n^37
                + (4449274379387/34719377167057446963679948494077952000000000)*n^36
                + (78266544045647/4463919921478814609615993377810022400000000)*n^35
                + (351711904372487/185996663394950608733999724075417600000000)*n^34
                + (6672186316510963/40397465352749453480687722876108800000000)*n^33
                + (227175899704566161/19027791651657351277135521644544000000000)*n^32
                + (1413399090272799163/1945063146613862574996075545886720000000)*n^31
                + (2425160040317086077469/64234141817611026166201043229081600000000)*n^30
                + (1308646465558482919369/772741555700583773427982474936320000000)*n^29
                + (8213920694956950635983/124087978011418962940598943744000000000)*n^28
                + (5617282592462587740731/2472065186946237152332244582400000000)*n^27
                + (1521762722497945153402541/22068569627876972486051135225856000000)*n^26
                + (1878543024001065125286721/1010003186630525056569846005760000000)*n^25
                + (19717317282559725840243293103257/440267964076145601096720147755827200000000)*n^24
                + (36446427572892822692407351649479/37737254063669622951147441236213760000000)*n^23
                + (638998422910875785524665678547/34182295347526832383285725757440000000)*n^22
                + (410339155805630961759651456959341/1262115520524067657229011412582400000000)*n^21
                + (1597892128488008319769676720915853731/314477117197246857926228676968448000000000)*n^20
                + (118015939736082965864789540542347989/1655142722090772936453835141939200000000)*n^19
                + (22520321279448444798605884585883924747/25102997951710056202883166319411200000000)*n^18
                + (208434692374593985301910711360962527/20636370256246849271643085209600000000)*n^17
                + (40155510721702241732533453141570195711/395530429911397944373159133184000000000)*n^16
                + (107825268730953277264995498539714242159/118659128973419383311947739955200000000)*n^15
                + (318616883175578368540913621780089270543/44116855643963616872390826393600000000)*n^14
                + (747073340688717248973589706042919081053/14705618547987872290796942131200000000)*n^13
                + (443493217956706208236819899328289622001969/1407846716873544832545413136384000000000)*n^12
                + (32621201841163616405254679822642326961/19042363199148873893680250880000000)*n^11
                + (113921405629950674287156063055479914539627/14039603215198566480525341491200000000)*n^10
                + (1144524508165891320553030705838759610107/34499024994611862078213980160000000)*n^9
                + (432497307915044598355384092794497612462427/3737394374416285058473181184000000000)*n^8
                + (61814920247335881381979777245139927327/182134228772723443395379200000000)*n^7
                + (163824786702020604320943990364873597119237371/199243608595444170038087349903360000000)*n^6
                + (9556363100363254083446664661866985861/5935805108544382776767462400000)*n^5
                + (2788041811480138681735984949313139707043/1129498914940159694093465702400000)*n^4
                + (27300487560154033333750602692383903/9743779459456174034622720000)*n^3
                + (15469108906282154365785469517369/7285083194795024114496000)*n^2
                + (5578947488502101228747/6258862563988320)*n
                + 42948

Column 4 and Row 4
Number of (n+2)X6 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

Empirical: a(n) = (1723/349372835543624695228590820876206659870581063680000000)*n^46
                + (14563/3367742704546176648703917834900273509695488000000000)*n^45
                + (143944849/78184458082013199060106641500429879127048192000000000)*n^44
                + (2921513857/5753834577464174822605250673191809286406144000000000)*n^43
                + (16643238853/156111790861431099838126956249390174437376000000000)*n^42
                + (7740566339287/401430319357965685298040744641289019981824000000000)*n^41
                + (1838447442023/575940199939692518361607955009022984192000000000)*n^40
                + (3387081817718551/7090022461326559622589449653042110529536000000000)*n^39
                + (656040493497009427/10544135968126678413081745637857497710592000000000)*n^38
                + (519610495937119/75504016957584521396933373704672378880000000)*n^37
                + (736009863038333311/1145739446512895749801438300304572416000000000)*n^36
                + (299320034541555633667/5892374296352035284693111258709229568000000000)*n^35
                + (1931465683087195460281/563241660680709255154488576200146944000000000)*n^34
                + (100851758328838466092657/506013898365556977892802571131682816000000000)*n^33
                + (28827568846012826006373527/2867412090738156208059214569746202624000000000)*n^32
                + (60530440359198710678531123/136543432892293152764724503321247744000000000)*n^31
                + (12017325625908710745855632521/698867462975607964688267350332407808000000000)*n^30
                + (44176936043467380100867432847/74878656747386567645171501821329408000000000)*n^29
                + (62303765321303588003693098933/3462948019960271282575882842852556800000000)*n^28
                + (121083988505519881149713468004023/247254488625163369575918034979672555520000000)*n^27
                + (160155434898486096110481562448899/13411239521088742925715475270100582400000000)*n^26
                + (21729634872706525495011317098195633/83021958940073170492524370719670272000000000)*n^25
                + (1354982429153432004976869694755142331/262088929202976087241106346781704192000000000)*n^24
                + (189854081984732297560342823809172947/2058395676200161251880769521975296000000000)*n^23
                + (125181881389962348400009988576699736731/84100166199035159719700011897847808000000000)*n^22
                + (134426470495318531120514569282693099680251/6181362215629084239397950874491813888000000000)*n^21
                + (296350582772476784370927481428651535807333/1030227035938180706566325145748635648000000000)*n^20
                + (4443781397597201694742581197534949135469/1291011323230802890433991410712576000000000)*n^19
                + (47793314466800864920847856965801562131803/1284682836352220523324020864581632000000000)*n^18
                + (59851567183608541200059611033983918227431/165173507530999781570231254017638400000000)*n^17
                + (446591561252888532836622114396917906102465909/140810415170177313788622144050036736000000000)*n^16
                + (36759749570755049384330574033709765711785061073/1478509359286861794780532512525385728000000000)*n^15
                + (112083510825512971832229723010840649345676315049/644478438663503859263309043921321984000000000)*n^14
                + (1507972699138371117884662300900036701107848741/1394974975462129565504997930565632000000000)*n^13
                + (568908704419142179133952811902350175139396429/95733576747401048613088093274112000000000)*n^12
                + (5484275786933554370395741968018949662043397/190883275241123366927339618304000000000)*n^11
                + (1790053403253441147599223031600717155382526869511/14755412385125465392534926027128832000000000)*n^10
                + (206281446286292838142679303875313458321391375327/465260750882334494359209379233792000000000)*n^9
                + (11697005368831188926449889000533084929851862793/8438552834630576613377817172377600000000)*n^8
                + (12471153109007561379458264115651213871617216271/3415604718779042914938640284057600000000)*n^7
                + (714153928681442475492875627042284852676367010153/89858867476545320687177394806415360000000)*n^6
                + (1193462213423385521093478688492713256680507113/85579873787186019702073709339443200000)*n^5
                + (20878952677535585080472756459418874284324719/1095218622871725847377729018332160000)*n^4
                + (15167223213578070416095324343937946500589/790201026602976801859833346560000)*n^3
                + (9509776358612579445032452864541147/741685749375969881539056000)*n^2
                + (4349773576572228484737731/941958815880242160)*n
                + 149976

Column 5 and Row 5
Number of (n+2)X7 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

Empirical: a(n) = (2857/17099057289994590455733180506023932559946950901760000000000)*n^50
                + (8908893143/55298351275842505533841105756481397898868439216291840000000000)*n^49
                + (3708960173/49066860049549694351234344060764328215499946065920000000000)*n^48
                + (71455317095633/3103478898134018167715572261843343759630371588669440000000000)*n^47
                + (8901338963479/1737670155730133352584306977515869966198416343040000000000)*n^46
                + (569213582908261/637985177949227704330470194643507813676713246720000000000)*n^45
                + (245732342773227599/1913955533847683112991410583930523441030139740160000000000)*n^44
                + (156662680622616323/9769826497520988180072829913111568366950154240000000000)*n^43
                + (2000663277307287301/1103568441580443847582977465268416360386396160000000000)*n^42
                + (11804106967729455061/62093364999411162779604870168555396236574720000000000)*n^41
                + (27193467773722184461/1469376367171201636919778746953044842250240000000000)*n^40
                + (40672343099488116508871/24673278165416427486611284792586544642785280000000000)*n^39
                + (1523651931957626288347/11534959404121751980650437023182115307520000000000)*n^38
                + (5646510121079431057955021897/599950237495915236779705977588157032892989440000000000)*n^37
                + (59729286276590414734014893/100713486233996178744285039044511840337920000000000)*n^36
                + (38241142794004356148960585781/1158205091690956055559277949011886163886080000000000)*n^35
                + (7535505215922304349394236372077/4632820366763824222237111796047544655544320000000000)*n^34
                + (643941369531830743262045020169/9057322320163879222359944860308005191680000000000)*n^33
                + (1341445908580777928622117929430323/484978440597865896542727956611037732536320000000000)*n^32
                + (2691114781045866285553369168085824391/28007504944526755525342539494287429053972480000000000)*n^31
                + (8387531135037793687154491396300183/2805800936137723454752809005638892912640000000000)*n^30
                + (21560764406825866619127261521982165767/258133686124670557837258428518778147962880000000000)*n^29
                + (1741673494518706995944987100414662083/828853103569373562788907420903517716480000000000)*n^28
                + (39011531007906217995956773095471768547/817717459113285392192251801958917079040000000000)*n^27
                + (31970258811937070554618775685165501893611/32637592498521564784021180617316777328640000000000)*n^26
                + (33795679871976737565724589080327550037091289/1854583197268931269492027086842823935262720000000000)*n^25
                + (1385648404852772677931417216371398537602510027/4503987764795975940194922925189715271352320000000000)*n^24
                + (2625772982811930994808663356076051071225741/556322599406617581545815578704263249920000000000)*n^23
                + (386411834865780478386517674018520333177464503/5866674684651603587210418829972230635520000000000)*n^22
                + (8996815428642328107347007026181444245000799119/10755570255194606576552434521615756165120000000000)*n^21
                + (119375691195188807023942009397811972619393784971/12348988070778992736041684080373645967360000000000)*n^20
                + (203448958836057328080623836447144113921547962821/2002825010335151281846577480998815006720000000000)*n^19
                + (398595300957144373493090805585572814458119940207/411294421765254281093493589847970938880000000000)*n^18
                + (303128137224684662233045843297749641246142003156503/36193909115342376736227435906621442621440000000000)*n^17
                + (7912190892289398114385846454320503526979267453801/121049863262014637913804133466961346560000000000)*n^16
                + (346095728574105469317423052836238175952728388549029/754039773236299515338071581387946721280000000000)*n^15
                + (44368391758850563806010176073889480837714183543929183/15364926393771552442975777441035552030720000000000)*n^14
                + (607123137130688794221177534331829215555764276998781229/37481108324200302171501517697071573893120000000000)*n^13
                + (13074272807517023449705296797965433433729256163503147/162255880191343299443729513840136683520000000000)*n^12
                + (1545417383225424592462068908471462473019627501601097/4374545789472490916375060422160547840000000000)*n^11
                + (1169109013946197045081580793847394486641703266240937/862778272569984767604249324913950720000000000)*n^10
                + (5612221849435119635973902960028754447121501585466439/1245530398391473108134565814642933760000000000)*n^9
                + (49677710792893294327970295779876458150831454490139/3869619283540171031690116921688064000000000)*n^8
                + (4207159705656663707843409986685769445226609952471359643/136319496316618313295275595017124357734400000000)*n^7
                + (130863117021586417609123530783748878217551082803353677/2132890078423279731830842643125074984960000000)*n^6
                + (249416077519984986748189783879429270952494006801499/2539154855265809204560526956101279744000000)*n^5
                + (6445872172191324903037680358774267317211070033/52795154128175502386413603960627200000)*n^4
                + (6128879188310547850073420061888775714861651/55110149016633414374869667589120000)*n^3
                + (52748674883300003732112011814165593831/790142551668533247132940992000)*n^2
                + (2179110973646842561918017241/103301483474866556880)*n
                + 464483

Column 6 and Row 6
Number of (n+2)X8 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

Empirical: a(n) = (1399/353950176700618384894744935853595446756409484509184000000000000)*n^54
                + (469997704997/112496928527895409586789835615510517097114310220179308544000000000000)*n^53
                + (10214582150497/4744598539467286974803566873906103939722912084757839872000000000000)*n^52
                + (1119233836831769/1551118753287382280224243016469303211063259720016986112000000000000)*n^51
                + (4968934057337839/28074547570812348963334715230213632779425515294425088000000000000)*n^50
                + (1236763075734263713/36496911842056053652335129799277722613253169882752614400000000000)*n^49
                + (3930095383287569819/744834935552164360251737342842402502311289181280665600000000000)*n^48
                + (897254480093375787829/1303461137216287630440540349974204379044756067241164800000000000)*n^47
                + (8556498354304014800879/110932862741811713228982157444613138642106899339673600000000000)*n^46
                + (36655687107315572364037/4823167945296161444738354671504919071395952145203200000000000)*n^45
                + (6503065239602389729717013/9646335890592322889476709343009838142791904290406400000000000)*n^44
                + (10209576418368706355032673/185506459434467747874552102750189195053690467123200000000000)*n^43
                + (14968152453856951285290359/3560847504832898814867740621266090122846771609600000000000)*n^42
                + (25935395240999252574649267529/85774532542886592040490575553439053253279586713600000000000)*n^41
                + (362963978606561910071524705483/17782525039378927618150485175712974454948207001600000000000)*n^40
                + (218957897382109664681536441289/170985817686335842482216203612624754374501990400000000000)*n^39
                + (213117294283153815579599140411/2885120496940654414091985569642303547758346240000000000)*n^38
                + (9508114469517913609218281199537511/2447796968983334166061200388559680694203396915200000000000)*n^37
                + (12606876113994487381855997461441/68074095185101090612463683533759839836569600000000000)*n^36
                + (8518200846984057644133197635246471/1067043142538506611186225103992886091631820800000000000)*n^35
                + (20894273385260719066335000674610648191/67218011866864213260822094786289829729533952000000000000)*n^34
                + (4042975512056693400163426032819616118039/369699065267753172934521521324594063512436736000000000000)*n^33
                + (2958354176656932673550974100476748556186769/8503078501158322977493994990465663460786044928000000000000)*n^32
                + (1638642104269247625618710760128373892877089/163520740406890826490269134432031989630500864000000000000)*n^31
                + (10252584791714539506236168133675628178461481/39184693553724990679695829449150522860765184000000000000)*n^30
                + (4422118897417776999759106146570325491532113269/713161422677794830370464095974539516065926348800000000000)*n^29
                + (6568035419256886614953167257234440779883570549/49183546391572057266928558343071690763167334400000000000)*n^28
                + (2474830354574963324410321218103945021860352649/945837430607154947440933814289840206983987200000000000)*n^27
                + (394064626252513635020823543957403039255859571679/8439780150033074915626794035201651077703270400000000000)*n^26
                + (2451006869518711895507052461468427773183143269547/3226974763247940408916127131106513647357132800000000000)*n^25
                + (7361947996068172314899517529804538802881401449157/653078225895416511328263824152508714346086400000000000)*n^24
                + (1411740344232014465268817779006196843243259961126389/9242476631693829323363038033114851587810918400000000000)*n^23
                + (297032764961867729871647604033895939109880427744094773/157122102738795098497171646562952476992785612800000000000)*n^22
                + (1679213535802487827811859497709749582911540306841298989/78561051369397549248585823281476238496392806400000000000)*n^21
                + (15937752742365908032609531571214447411181474065879001/72206848685108041588773734633709778029772800000000000)*n^20
                + (10337090653487133333830412258929502963711595229052677/4969702136222010959551228699486098083020800000000000)*n^19
                + (1722217771693772488411939327138999568043040921497812147/96420573883272091625309889255239523143516160000000000)*n^18
                + (113297700357184078019952156513338266239830365044310836119/812432613275718549805851844650629315375923200000000000)*n^17
                + (11426245197703999744461945639322217623761664796880021960119/11577164739178989334733388786271467744106905600000000000)*n^16
                + (936209157678890196336844645773266432007786157867559753581/148425188963833196599146010080403432616755200000000000)*n^15
                + (28271145253300855157710932621335941606893991458756973351189/780183685579123212892946976063659068882944000000000000)*n^14
                + (314668239526721624892996595774978437501287374596756391026131/1690397985421433627934718448137927982579712000000000000)*n^13
                + (160901881309525243734795109261553257572772862884871508227999/189289357742504286461439826223778393882624000000000000)*n^12
                + (12109387966342298775436891052142470357998333236620977404719051/3533401344526746680613543422843863352475648000000000000)*n^11
                + (5123493109439591176613198562468701183608004967674498856329381/423272036063099862781830722528171130765312000000000000)*n^10
                + (49267417207689848690643697265047936745318804937106111981519/1327912270001881922452802266755046684753920000000000)*n^9
                + (3476950162811781041217358892696574213227527454241298877333/35651945689902676614240222148430184849408000000000)*n^8
                + (4907996689746542751122378701264948464723729422419462489573/22670980848963753334183525879001758570905600000000)*n^7
                + (564687542603752105573043955570704171384328943242922194613/1420149310550167088110702726547445760819200000000)*n^6
                + (250084493525040313451915457987371774084364553350617123/425390346478160648512422475693935366144000000)*n^5
                + (852943959588379444374425691456048724735612556693/1266757803063075171456726411079987200000)*n^4
                + (3269427675364705063193949023193816729503947/5808609706353161875111262963893248)*n^3
                + (199167915478761935824824458655879154201/646258568494325032377251120000)*n^2
                + (893723228973913398303843129707/10265584920314864089950)*n
                + 1305521

Column 7 and Row 7
Number of (n+2)X9 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

Empirical: a(n) = (4295593/62612641379088316917275180413600636755116463884280445009920000000000000)*n^58
                + (66194495959/835554903920937194723637752415980911180347293904018352373760000000000000)*n^57
                + (1145943910171/25653001436169124399409930995227484115186101128632142397440000000000000)*n^56
                + (192317448525879899/11719756941838408547044708474676784885766450201337941626716160000000000000)*n^55
                + (3138710955623871959/710288299505358093760285362101623326410087890990178280407040000000000000)*n^54
                + (220289987610944654833/236762766501786031253428454033874442136695963663392760135680000000000000)*n^53
                + (514677202579209674891/3226327006837755142866425474256150679011580217635331112960000000000000)*n^52
                + (1743862761415964445013/76145829706835130120099202626674884906741840800833863680000000000000)*n^51
                + (60808411502362672186573/21640521845172060047972829904512908467152467789302726656000000000000)*n^50
                + (47210152529198562800189281/157666659157682151778087760732879761689253693893491294208000000000000)*n^49
                + (290012911729147013895611197/10323412206752998033089079571795698682034468052550025216000000000000)*n^48
                + (7465433073390880474749854171/3176434525154768625565870637475599594472144016169238528000000000000)*n^47
                + (14860967481446419794681613051/83675073610966549407003684472508196004332061216210944000000000000)*n^46
                + (2816423067910246120279108772711/229196940760473591853966613989913754272735645940056064000000000000)*n^45
                + (834173680834968814750558037719/1056902888882289290499187284538469222601547774427136000000000000)*n^44
                + (14598896410537692617841015034387/306413022407050256489260179130900741006331077459968000000000000)*n^43
                + (7484858606858345341455245281278469/2745840727926744934120812147870707415529602523594752000000000000)*n^42
                + (36988534640833598944606124954095559/249621884356976812192801104351882492320872956690432000000000000)*n^41
                + (31542958383272851876417403034061522747/4135504023157963406877076832463809339242755020292096000000000000)*n^40
                + (2113652669596713357685177173164195044657/5726082493603333947983644844949889854336122335789056000000000000)*n^39
                + (1288601727227541332528384158042211269649657/77352342457448546314866781238796757681382705237852160000000000000)*n^38
                + (3296518418656618211583891065686293157972759/4735857701476441611114292728905923939676492157419520000000000000)*n^37
                + (91990588949424164741570349001721207682521167/3434563468187869817069374456548890785080699267317760000000000000)*n^36
                + (20820379378011851593436201730116525965600447/22016432488383780878649836259928787083850636328960000000000000)*n^35
                + (41595664818455012677960859196874158865885339/1360492560185331676399039198474506153725767188480000000000000)*n^34
                + (677797171678434564797144670827500373303343017/749659165816407250260695068547176860216239063040000000000000)*n^33
                + (130958433926737355989394761558844925597132020177/5356939455729743475821216843993367980295208304640000000000000)*n^32
                + (8339550097514236500738952399598557313667795799/13799135659280223614866287888359003061831598080000000000000)*n^31
                + (31300691219026863072884356304153399742797940627331/2290893923924977855097736972915136168531775717376000000000000)*n^30
                + (22322064581478575478116423956895624203780846191427/78996342204309581210266792169487454087302610944000000000000)*n^29
                + (312126670616111026689872450790583142705321908332740141/58365130831950728917518781614556313994835412385792000000000000)*n^28
                + (110109070257341853034342271869950613361479471943886497/1188430265808951493795631299843906846048684867584000000000000)*n^27
                + (588982154586756832995455157611802736838919944035534348687/400699071288584811991427019930703924926081581187072000000000000)*n^26
                + (1834075567472585335940767914313519292545590347259971025019/85864086704696745426734361413722269627017481682944000000000000)*n^25
                + (369986261121960491553342745539878332282611657832884921889/1300971010677223415556581233541246509500264873984000000000000)*n^24
                + (7548429684110045868674472325861440821988597115518782203/2175536807152547517653145875487034296823185408000000000000)*n^23
                + (16766616320983339827122932843727850325179264674145916023361/432222410447111560083306525132087096492762857472000000000000)*n^22
                + (1616022891016866198128408217152741769760085977049194267513711/4066819952843276951692929577379183135181905068032000000000000)*n^21
                + (538941687040117622972166046619791637667830108777090537713087/144573008480578174182989647949306141001388130304000000000000)*n^20
                + (18835378557473229790760498161165770967901755244896717424344801/588618677385211137745029280936460716934223101952000000000000)*n^19
                + (79655666522137150510010771949306647161958717431074167698461367/317392424080260907607613827955934700307669319680000000000000)*n^18
                + (31643516475449024097301144430251200110346053201943021255888599/17632912448903383755978545997551927794870517760000000000000)*n^17
                + (3119570890381935887850913853900694178371938218412820941465156989/267432505475034653632341280962870904888869519360000000000000)*n^16
                + (31926787149992570765983463044091998590476079035210759574789538373/464973872931445852419938538794419531872856965120000000000000)*n^15
                + (5371857688180123572096486114467580410505611740588825123479163191961/14745307818871457107801990328738183033483176181760000000000000)*n^14
                + (912465001657494058002176499969450715485945194511984274694674676357/526618136388266325278642511740649394052970577920000000000000)*n^13
                + (3785103088177584411713962690861605944598506172984669464775376686043/515646925213510776835337459412719198343533690880000000000000)*n^12
                + (648151290471264111381181029845577576713746235517141729873435557/23568121267585848385910574496673485915422720000000000000)*n^11
                + (733451702552394113822754539791468984917343051116033596222178465337/8116664563546002968704385935200209603555622912000000000000)*n^10
                + (2790650472605741319627593276416691680547925513730347107424695741/10822219418061337291605847913600279471407497216000000000)*n^9
                + (2192221109371904639740968300097929735334469901404538545293380593/3472128729961345714390209538946756330409905356800000000)*n^8
                + (3239102391827737893939930523551504376388293849957909345934058571/2480091949972389795993006813533397378864218112000000000)*n^7
                + (7689651450716683695466041921325990393858780501402849365584689/3439164661133873866761626402858975957085388800000000)*n^6
                + (3643399079725443015241877949608322329848011782980652631233/1182781497215353446240770985110229826510848000000)*n^5
                + (103779403372006934978634260425190697485139195533132473471/31617643919068430868124505770803762678374400000)*n^4
                + (372094690605307227479798126516546137529923545527399/146231749357440850205926045116012518400000)*n^3
                + (245847598828937657355463658884973322326068973/191275733551539357132824522990880000)*n^2
                + (54130348505995807424969189156633/164249358725037825439200)*n
                + 3385762

Column 8 and Row 8
Number of (n+2)X10 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

Empirical: a(n) = (19861/21982921846215015451460410692625859181916167053949589606367232000000000000)*n^62
                + (18979393163/16710360691762972229328577219184387622592015223878047902906449920000000000000)*n^61
                + (44548741688447/63803422223817554167252033364183569353102170027920239483263385600000000000000)*n^60
                + (1932385068405599/6900687592461055666912425721271304490516140556933245386914529280000000000000)*n^59
                + (150464993751474431/1824969977704098270053940147915430655146632234612688605916692480000000000000)*n^58
                + (102714537654967944383/5403589267316962234090746920724309617997384639496880286024597504000000000000)*n^57
                + (9529371489161843570059/2666244704268237944452671177988968561511867420804381720077926400000000000000)*n^56
                + (24284229800611003871489/43090823503325057688123978634165148468878665386737482344693760000000000000)*n^55
                + (2457728267286246012624161/32318117627493793266092983975623861351658999040053111758520320000000000000)*n^54
                + (718773469608924696301/80591649045552502685010274601426174614169318503439400960000000000000)*n^53
                + (15414300826856876514497857/16752082535503728626421824577868474679483204976183450009600000000000000)*n^52
                + (170162326053244165196592307/2017455101049911404472305755614267918389375222938221936640000000000000)*n^51
                + (24850168414424098302359024293/3586916495837268952951496556673014578430521536076926943232000000000000)*n^50
                + (702179874884410428725073799411/1366444379366578648743427259684957934640198680410257883136000000000000)*n^49
                + (75183270051424895284620163118171/2167916563418129586948706710077096723227238291035505295360000000000000)*n^48
                + (32685794329839161401699231137947/15228863397195911992074670573996491672788435141350391808000000000000)*n^47
                + (1202791127792073819354098986150591/9789983612483086280619431083283458932506851162296680448000000000000)*n^46
                + (141075760795357746185587600964320957/21488949536754705854429475869236156233934669349652529152000000000000)*n^45
                + (379563450169291004679621451793760770639/1148315740870329594096075116762307098750883893372057026560000000000000)*n^44
                + (19363296423178400253029530316929941220069/1224870123595018233702480124546460905334276152930194161664000000000000)*n^43
                + (81181337793089433741250234227453367339/112442177808600205052247257455305468665937223341205094400000000000)*n^42
                + (19438141354612302496929209224701631218733/616566054361732726116218727749149756032556203025367040000000000000)*n^41
                + (93947500806735679327461708576224489333147/71576031170041674349795560561873623179201529197363200000000000000)*n^40
                + (446595936215093153911424074933953598330457/8619909130155556480835594390247146017280184161402880000000000000)*n^39
                + (3516601802975926705659089369836384161061655069/1825922399587667001169355336084228727373691752588247040000000000000)*n^38
                + (22954864624654862547467746052641323149786174519/342642228070772079231780260598521934025680427646189568000000000000)*n^37
                + (1889584199954527744418873626174870614691913041/871084937583880026068319608545008532448003437363200000000000000)*n^36
                + (13053870304845939112764996716471606544204915209/200445903867305533656125108575243906648929699102720000000000000)*n^35
                + (215815699766362084241111809384000867862825168783/119383222156262854604015689666137914989436070789120000000000000)*n^34
                + (3558814124158344182247849293057444594865456613433/76844372882192182273849179555215209648372643266560000000000000)*n^33
                + (586885107197389674784752866622115719044270359209325999/536627583592401531445050525049289927877515138197094400000000000000)*n^32
                + (2304878818180659479992236756846200111526984954495947/96890731025372751562679400308749612165339419770880000000000000)*n^31
                + (18471111857727529014828431086582555997775054757939945693/38775670556354175175384296003561594788568835792306176000000000000)*n^30
                + (791854750224994780862665242549387622054462729490261861/90200656740287490145256298858859757992018364596224000000000000)*n^29
                + (511249793576357421787025528964320136187028476179987052019/3434563468187869817069374456548890785080699267317760000000000000)*n^28
                + (5504905460102770989059434138253703766966410746931036943/2371000421825945633085366981838484762876222373888000000000000)*n^27
                + (29667236791199980487346263038337894806103016519407091312888623/890754035474524037056942265305954825110679354978861056000000000000)*n^26
                + (27422268445424475300991551848054661056807025131559409613518381/62420263849540510172550878440000622214195333587533824000000000000)*n^25
                + (80775556660058843170142912123520384118035527562199790143776497/15162817129443038908311954276923228068225587106283520000000000000)*n^24
                + (1096119235080996318049220803106636059876706127595529903742521/18462071531955193780701235859213434550190870626304000000000000)*n^23
                + (28991832885902963296753873198398355849498421335131391212404247779/47687530767040265535551292224348301443143018827743232000000000000)*n^22
                + (6412931896040754879160987059891629208758783120660816069087536741/1121682511321511622139983352051203326955648964362240000000000000)*n^21
                + (1630926479339558113103785749159867914749545729755851190174174993138177/33051851094129552461646898919967720769967875220412825600000000000000)*n^20
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