Empirical: a(n) = (1/39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000)*n^83 + (1/561232979576486629093433538358211271126107785204242418674334042593558435342265818905557416538936442880000000000000000000)*n^82 + (269/46008936672598158618093128822048484963590136862949412370998928966003096664237238541715750271823380480000000000000000000)*n^81 + (2058557/214708371138791406884434601169559596496753972027097257731328335174681117766440446528006834601842442240000000000000000000)*n^80 + (2222460287/214708371138791406884434601169559596496753972027097257731328335174681117766440446528006834601842442240000000000000000000)*n^79 + (22442726233/2717827482769511479549805078095691094895619899077180477611751078160520478056208183898820691162562560000000000000000000)*n^78 + (1627091206931/313595478781097478409592893626425895564879219124290055109048201326213901314177867372940848980295680000000000000000000)*n^77 + (2722676313557/1018167138899667137693483420865019141444413049104837841263143510799395783487590478483574185000960000000000000000000)*n^76 + (3685854899/3170110389299262226379273655184551802716103705543650547295310352013702042544944069178556416000000000000000000)*n^75 + (174199867457617303/400121823006184980426912782936428574883418461402602941127972186700113430703895205579509855158272000000000000000000)*n^74 + (2120745344357865427/14869392071175793191540677744259170012559469849421055244620588019260972086969078585725028401152000000000000000000)*n^73 + (82853739459387613/2001870293315713801829716636162925517493112968182969976725197808119682553528198793137225728000000000000000000)*n^72 + (4492927907256842377537/418101146918425331268988054813343641304844501894319505796829800108996331212540782150883999744000000000000000000)*n^71 + (40230982483426427593819/15983746059255696768834553403327020492539327034189276881568946080625614271706790464520716288000000000000000000)*n^70 + (1426516952274705998402471/2663957676542616128139092233887836748756554505698212813594824346770935711951131744086786048000000000000000000)*n^69 + (21095340901848389335008581/202692431910851227141017887361031056970607408042255322773519243776049456344107850093559808000000000000000000)*n^68 + (120443886860148515788670729749/6486157821147239268512572395552993823059437057352170328752615800833582603011451202993913856000000000000000000)*n^67 + (26879370995544536576372551057/8800756880796796836516380455295785377285531963842836266964200543871889556324899868377088000000000000000000)*n^66 + (13449718537846542154253814600649/28940950511851004981621174189530371144535114727252403877901505634655636810222266874855424000000000000000000)*n^65 + (23591067041951065892605765838123/359514913190695714057405890553172312354473474872700669290701933349759463481021948755968000000000000000000)*n^64 + (259758111983417019092057846118971/30132270932633013866204098028871859479785923654274587335369902980682814636155354480640000000000000000000)*n^63 + (33961287062411239595123574082719324179/32156611679834449979579082432811523493927905252502670975446117371839596455802518749839360000000000000000000)*n^62 + (15864391112650578029641210762867530767089/131219721854808320077959804120988958773609032723922189625610769275409966182548987801763840000000000000000000)*n^61 + (9264327518323450382060423743493036293/715140618758765260278382259989693924254496385180078204708813487941500077294149959680000000000000000000)*n^60 + (62382817839851139329645117437847390341916537/47939757867330440122158616962234842081224845678997333914743044512796146895732182897131520000000000000000000)*n^59 + (99698838338811593021965053547481478974289623/812538268937804069867095202749743086122455011508429388385475330725358421961562421985280000000000000000000)*n^58 + (2694001771231347789921152997255614785481/247758922236270097216661056982704676163834271116429740521106337306241346977136640000000000000000000)*n^57 + (141788089029471444314446734393019269611527849/156403450546241777733863125426172842843787743512044374379869309659503628491748802560000000000000000000)*n^56 + (32282938125237030434986567910225148728500634663/453570006584101155428203063735901244246984456184928685701620998012560522626071527424000000000000000000)*n^55 + (2388821200182777389358858694562923301106613113463/453570006584101155428203063735901244246984456184928685701620998012560522626071527424000000000000000000)*n^54 + (345258928833291496740210694336994984401338697921829/939275539950476684216703915388313710252358499346522359256595710459209341389617758208000000000000000000)*n^53 + (52943045697958166656075719610837905731255271220583/2186502727157443886316757460472673424993238359174702870114594278206931816515895296000000000000000000)*n^52 + (606670920920287487048711502421965358882526797845713/402746708508330846668497449548080086654955469612504139340835785415405546527260672000000000000000000)*n^51 + (613959557047673515250002086699574062474248864975495653/6933774414048831062914402036814243654032611733599057750273307981340900895617974272000000000000000000)*n^50 + (315587611536758043809071688002839471507620256074678344561/64137413329951687331958218840531753799801658535791284190028098827403333284466262016000000000000000000)*n^49 + (33170597723296971618974089745432533986061059443232238307977/128274826659903374663916437681063507599603317071582568380056197654806666568932524032000000000000000000)*n^48 + (135647158171653376384115838093230627823268862502770531664369318749/10550732767603712469481790915705154563574972432454737831828002313305503131961269034156032000000000000000000)*n^47 + (76673254760835364333597892772959705810650762244293747926590657/126755322363897214814106598215999550242980554710702425986376278737887034995990593536000000000000000000)*n^46 + (27098752090263506711565396581997528617504614387504880959409363/1005994621935692181064338081079361509864925037386527190368065704268944722190401536000000000000000000)*n^45 + (13994346768002251896157306585944611652359765686304097563710588583/12323434118712229218038141493222178495845331707984958082008804877294572846832418816000000000000000000)*n^44 + (20151831102035063571672532836229631688788019589448701038234334485662623/444629503003137230186816145075456200130099568024097287598877679972788188313713670881280000000000000000000)*n^43 + (69993447546682415107423288737099669684330773939254408895478779579237/40870438735466240480450054699462836669739826089171549554083801817518906913660600320000000000000000000)*n^42 + (134151866103138973669386690413645740611050922766921959359069590227418583/2189779447248096114897546680718710178877132018880404089956949174350035636629452881920000000000000000000)*n^41 + (2595821697021648533225738210114808965994969456108195156791222361136308631/1251302541284626351370026674696405816501218296503088051403970956771448935216830218240000000000000000000)*n^40 + (40347066678523862016135805566938048037342141645644391904879204857522877/606864845849072327967076027286127989615553745351953128843862432644722619559444480000000000000000000)*n^39 + (222678103613620175948957144650837019354389606155856080873482839670117340529/110449401944531163690007836966075294110030781654055469449582962741339516759818895360000000000000000000)*n^38 + (2028440959261450215816708722591150700346430971140546111124447917414237970289/35075147914817329009664650928415802859266532011760858541421616546236197889942487040000000000000000000)*n^37 + (1081438128238892747771062289650574159657028197827276862252216866981243490491/689437796851446270460238838887779908781651734874906310396493691326510032234741760000000000000000000)*n^36 + (52638827468284486856347075909742891739001075030399287453824880559895212907567/1309024659021890747729111374361929484699899280821697113029132100768623653308858368000000000000000000)*n^35 + (432530661234494922391462183235541869542141631222142507607882960081097760759173/444133366453855789408091359158511789451751541707361520492026962760783025229791232000000000000000000)*n^34 + (2266540175919835518932272333378984904164777443024561043121260572827711888870389/101780563145675285072687603140492285082693061641270348446089512299346109948493824000000000000000000)*n^33 + (995841772071379624415880568356150761633337943937187006878691924315324818559762671/2072622376784660350571093009406388350774840527967687095629459159550320784405692416000000000000000000)*n^32 + (5953326657188413878064176040548175641292902461181981024054970171148336625057579791/609041756887831141322050012340687705898050417240504826991922726823506561143406592000000000000000000)*n^31 + (456449327454494360183120848765978028147686813158317412628340799604835992653698932609/2436167027551324565288200049362750823592201668962019307967690907294026244573626368000000000000000000)*n^30 + (350221704540326575707669442891066474949802127344505951788128627304300489629318500987/103593641009103904342908374114977716553614013277313984166729561956385565605625856000000000000000000)*n^29 + (27167525297597797946792160825382067877249622217068601573026047075472898569733126939917/473570930327332134139009710239898132816521203553435356190763711800619728482861056000000000000000000)*n^28 + (865683109803732257771393991168569999152105451738129806377532726280427798390824923367/946619587778648462229892583192517635213614206165538001759866807431622010339328000000000000000000)*n^27 + (122989854505981742017291862612634562907069760236227028895958021547234048601627613864621/8991292448227499366836791168976741578914497224218796979678734894830322192482304000000000000000000)*n^26 + (12713560229884572708454751664684760804930545252077457862850545504226197031423621503807547/66310781805677807830421334871203469144494417028613627725130669849373626169556992000000000000000000)*n^25 + (9666151848125765416143331467023296388938143707688182158183513762498092550019647218243097/3844103293082771468430222311374114153304024175571804505804676513007166734467072000000000000000000)*n^24 + (92667281515383900955198979367989922688912429243698233506122528415702352117386996042046364733/3007799490140021646680039658233820400860535559574358714780555526365182228493762560000000000000000000)*n^23 + (30939695583809320270827474538112485047950132038616756326783975468299599848628921446780541459/87890244841753879286105054948390855869301363753796196211120129017164415767674880000000000000000000)*n^22 + (984491590083960956985888040372682623773302290456855555896481776776661869988301563028176499/262965508842456867169088971693811890265827553730928371636698332432696470405120000000000000000000)*n^21 + (113124076834398228868602364403268967304979184982734408219706734771259246203139558298422819711/3059038383056213218082928714196613680000544683014857579232703306753300003553280000000000000000000)*n^20 + (2976829985492613178729637822930478544796256275251355317624964234728519588230721582553227684451/8794735351286613001988420053315264330001565963667715540294022006915737510215680000000000000000000)*n^19 + (4197036303762013363463152937306848311326744991725086711183089735382183915744181568864098033581/1465789225214435500331403342219210721666927660611285923382337001152622918369280000000000000000000)*n^18 + (1215062256618132053283237173667024725688534209646147015102214691401499991814242121818607838219/54433709178124279593471480392322241230208586972286283206385707508583765114880000000000000000000)*n^17 + (341556087891157303195481493274781200106597265544494601708925514623245350387664793704381210979/2136860484265209322884211007136616907797444529903800373804397608808040366080000000000000000000)*n^16 + (350707008007117939502687441634537255123105327092195529852302469824357330322925117224107957/334835688417625392474733918497190683558004128617404616977897061209237094400000000000000000)*n^15 + (1217522909262288159162953489864074219657001438573724356522428370131819504431967021671353/194684350175732609515051987625355262946638398212151428950154191872983040000000000000000)*n^14 + (671402844344972235838492329089180017965211009017041315759021131962126603128453515392242204197/19830922676274211890476511934594865892625759520806302944363435031001407946752000000000000000)*n^13 + (99302620295481123288899292691554389819399174475075568871318254777278547537525299752651182619/600937050796188239105348846502874724018962409721403119526164697909133574144000000000000000)*n^12 + (15930088383603822378866866677017361708288500416326079536177521670375724372703910555802733260322977/22050234284513852733492889179381934992779329311712270984038720984379160512419594240000000000000)*n^11 + (176927966931511316965950670714800274137438662980211072768054768304573553216388341905379780853107/63000669384325293524265397655376957122226655176320774240110631383940458606913126400000000000)*n^10 + (1203137550389664630026734169625138969928131408293775683188953792370320253786051145917662929669/125001328143502566516399598522573327623465585667303123492282998777659640093081600000000000)*n^9 + (33069212357240733724643174372279240247780337775092210889381785790575940617951056280204171/1148233834357570606595381379726753817822839374515938450656626605467919974400000000000)*n^8 + (4181778593114643980225015800252634477510203072051968598215437887735429711285765303117/56240024539962641955692149211106309444383969364045964930120486798428733440000000)*n^7 + (5516429165362233106593374257939452944494522474940584545282889671836222472977763973/33814348569001107476967381680559349112784974365107001521236463924019200000000)*n^6 + (46320447040655802271560421069827956660698033758416631139890473234270627651257031/155672117537942161461563120790453879948135954244956475534829874708480000000)*n^5 + (470644952615560666961224246644949112533565834451054718330734017306428415909/1079976395395869141008735159218933011073204255778641327664209920000000)*n^4 + (84252699296341328886800976434096916123940761212423706499108621579/173706033985894612608028278384858538575622724231252889600000)*n^3 + (2982088834786011993978166104264962170525325669259812791/7920810883324822675102611340425798556291587840000)*n^2 + (151072787406615002867458342226847753307/852711535681945068629930345697600)*n + 14819