Empirical: a(n) = (1/8320987112741390144276341183223364380754172606361245952449277696409600000000000000)*n^60 + (1/4701122662565757143658949821030149367657724636362285848841399828480000000000000)*n^59 + (179/972646068117053202136334445730375731239529235109438451484427550720000000000000)*n^58 + (139/1339732876194288157212581881171316434214227596569474451080478720000000000000)*n^57 + (296581/6917824097560833585606930623971377889328088443168125543985971200000000000000)*n^56 + (102293/7386998314855724175106967765856882594664914066297854116233216000000000000)*n^55 + (5648508913/1551269646119702076772463230829945344879631953922549364408975360000000000000)*n^54 + (7145768537/8915342793791391245818754200172099683216275597256030829936640000000000000)*n^53 + (22059257944441/146346193030160573280421059512258994799965278671938619283865600000000000000)*n^52 + (1050094883/42695033427612188102383532887046743977747615367676559360000000000000)*n^51 + (78992234189863/22412922009492047421992783218027830738595448178090147053568000000000000)*n^50 + (3019223983313/6741820216655019123650011148927803220920468932277567488000000000000)*n^49 + (137604711905285573569/2705559871145825724511985974176216710587593387212310608609280000000000000)*n^48 + (42602745022427118013/8198666276199471892460563558109747607841192082461547298816000000000000)*n^47 + (5528799810267829043191/11513020728280109466008450953941347704628056966860896206848000000000000)*n^46 + (7460135899476492847/184983783673641657283467511069464759546066020226564096000000000000)*n^45 + (11950509600473281931877877/3868010916615847053797305656462508122108240482937455247360000000000000)*n^44 + (443363372164624962654977/2046566622548067224231378654212967260374730414252621824000000000000)*n^43 + (14297575031459410675957306183/1025472661614433870076494987992385874233347476871790460928000000000000)*n^42 + (312853955551289253645492733/378962550485747919466553949738501801268790641859493888000000000000)*n^41 + (309954511841111605241476626355681/6878170291316324738317954187753807693028550149749814067200000000000000)*n^40 + (1741731412535816584169830557941/766797133926011676512592440106333076145880730183925760000000000000)*n^39 + (1043162515754960865678916293851197/9853498393041137899801491517803648516951519990298705920000000000000)*n^38 + (422125533969265152404568840199691/92420980598509951441139530830770152034898816647823360000000000000)*n^37 + (13692941889240575617104643873220628391/75010866145223076804795138131027774746162471998219878400000000000000)*n^36 + (3616705721761252720410183546678143/534836835260057588625990289704297859152673597135257600000000000)*n^35 + (1095976444518372198280704274710723613/4719148546412272840817561379743804639582414092369920000000000000)*n^34 + (98869279975765092453799875579762035941/13370920881501439715649757242607446478816839928381440000000000000)*n^33 + (2538218655449624758331641498964635229015729/11632701166906252552615288801068478436570650737691852800000000000000)*n^32 + (322932792374931161663843794128265246519/54148401838226749302310146632539582165296516956160000000000000)*n^31 + (26624530589486350914316299757930822147214707/176496155635819004246576795602418293520382287054635008000000000000)*n^30 + (103744953918266128173148908986197943026971367/29416025939303167374429465933736382253397047842439168000000000000)*n^29 + (285400883141573994539798845249865875866246688339/3750543307261153840239756906551388737308123599910993920000000000000)*n^28 + (1322158988553236073315585419536117198901170721/874252519175094135254022588939717654384177995317248000000000000)*n^27 + (30648389217321106244546013814646247958984407947/1109628197414542556283951747500410869026072070979584000000000000)*n^26 + (55302535692052894310218944714417899134379383/119629518223192957752329308831378989379334701056000000000000)*n^25 + (317621943908486363809744505089671727334726669434393649/44942589971669167324236632476800447994220640183024353280000000000000)*n^24 + (6403264344779257693320648410115053305880083097137859/65134188364737923658313960111304997093073391569600512000000000000)*n^23 + (121020860789234993540926702432435878651903353983842317/97701282547106885487470940166957495639610087354400768000000000000)*n^22 + (20816099737257641705453530364260660256685286523229047/1480322462834952810416226366166022661206213444763648000000000000)*n^21 + (55990956502357990815289389956565088786612606754082252761/391743229274050545473412108955350555951850545846681600000000000000)*n^20 + (1747322413315576143976655173835804729329760486889433469/1353361296278232510038865362404105562111901979115520000000000000)*n^19 + (14649098234929711923118122647820676129434188889614928155689/1425766125629117949325944659292725209684888734998200320000000000000)*n^18 + (2479949334587990907321665385206864549716867924848389359/34786661924294099188160461115813331617744808837120000000000000)*n^17 + (646838180418738816905406575045198095842921173254426709552573/1518176893031005223819292924246883325127427819674009600000000000000)*n^16 + (17001816580968382723638398203062627020499707023362888259/7864164170064777124161061508660364284524360630272000000000000)*n^15 + (1463064419810921538009619833290527058079769613852033849521/159929877112375034784621587411698754440086757048320000000000000)*n^14 + (259264415858427200072590419876563339792576221993421745299/8250350803416172429365399350603507173496539054080000000000000)*n^13 + (1321516448360455239702371379301434691262048393810009200358687/15954115866106023435285340994229531996748932395827200000000000000)*n^12 + (61159225881447345119761022645059530644160613640896826099/447646348656173497061878254608011559953673748480000000000000)*n^11 - (44291519624986145865409852147343555910894862671946307261/649982498248763917733847225690832785052734282792960000000000)*n^10 - (25628008515995021977385528673159769927949889735640467143/18055069395798997714829089602523132918131507855360000000000)*n^9 - (1756546098496627193138571855260820102087263564219243466841/358844504241505079582228155850147266747863718625280000000000)*n^8 - (106083824434485647610069471754292184020565329813908781/14794661069532264670469105580298794753570963456000000000)*n^7 + (965388863536765295084774372649814344898245780335441/276078943172521724654289559489504294955029585920000000)*n^6 + (12340547140928698641705292356420045654739421/382846406216016287972446878387175815168000000)*n^5 + (129380238494709059143046181492684503118779827/2706350866744346207720220387701620772352000000)*n^4 + (1770461769999676239333334066839095778379/249454160668575567998344429903786060800000)*n^3 - (380399252744495375746037762948489/8192572253750143064128237282368000)*n^2 - (285331379017900777/9230603502587266800)*n