Empirical: a(n) = (1/119622220865480194561963161495657715064383733760000000000)*n^45 + (1/126584360704211846097315514810219804300935168000000000)*n^44 + (61/16860073413034558782517711274934138839236608000000000)*n^43 + (547/510911315546501781288415493179822389067776000000000)*n^42 + (67637/293729501969243184364420057054601721937920000000000)*n^41 + (1847/48112940535502569101461106806650568704000000000)*n^40 + (6373146641/1233663908270821374330564239629327232139264000000000)*n^39 + (1577339/2733766131222887843682070427238137856000000000)*n^38 + (33363097/611362945767750696534364310439198720000000000)*n^37 + (33279027673/7499385468084408544154868874720837632000000000)*n^36 + (482496623221/1537141120787487465572115980532842496000000000)*n^35 + (13512986876083/693220505453180621728601324554027008000000000)*n^34 + (276296449035275791/258067088166434058725329311277158236160000000000)*n^33 + (779301683350793/14895647224613798483424491271408844800000000)*n^32 + (46977688142908321/20554925381635528373184333833306112000000000)*n^31 + (29546956585026239/329758161202709011334508029411328000000000)*n^30 + (489933813913687819547/154921358787696346852078969285509120000000000)*n^29 + (1040396398319171615473/10328090585846423123471931285700608000000000)*n^28 + (4304346810711963931322573/1483526931750980217455508209878035333120000000)*n^27 + (228461778571340842087207/3018980325093569836091795298897100800000000)*n^26 + (93579835157380027288180562639/52303834132246097410290353553392271360000000000)*n^25 + (133790809092411153147952307987/3486922275483073160686023570226151424000000000)*n^24 + (101432766663947081340164137603/135854114629210642624130788450369536000000000)*n^23 + (54274738967405130362452238981/4116791352400322503761539043950592000000000)*n^22 + (19583079811372291718705360746220873/92720433234436263590969263117377208320000000000)*n^21 + (2160841752857495576472319785317/704187994489528849327631678570496000000000)*n^20 + (3286530602805791980752262239568073/81333713363540582097341458874892288000000000)*n^19 + (192129245253310587988607734281887/398694673350689127928144406249472000000000)*n^18 + (64406576542556099550625479396819637/12388013064824983617767344051322880000000000)*n^17 + (20924616812966016396491006629432501/412933768827499453925578135044096000000000)*n^16 + (21469656136048394569034436404325852203/48212261715875928090669538451914752000000000)*n^15 + (86246868085621481478067101836824949/24505815379425219942328949538816000000000)*n^14 + (158753643246161621016463809056300374343/6368364018414069755566294900408320000000000)*n^13 + (4661838043701351954562047606546290293/29590378267378505934954501557452800000000)*n^12 + (102722162256917931433373904021577983827/116247914621844130458749827547136000000000)*n^11 + (11065001470550555226348358011630377/2530649482363377970627608576000000000)*n^10 + (4898873447262110346160563657614146551282689/258219716739695644369361205474754560000000000)*n^9 + (262672649040659922963200521151633536439/3659576484406117408862828875776000000000)*n^8 + (16887983311236146789570009168024750880449/71727699094359901213711445965209600000000)*n^7 + (66180731108000775007361914671982621309/99621804297722085019043674951680000000)*n^6 + (81520064958409203664668603089221196231/51347924272311611821244225603665920000)*n^5 + (42894852290332412884689053249590157/13767675963189514109085217075200000)*n^4 + (1251274265674547684337285761399677/263400342200992267286611115520000)*n^3 + (2054136888165151851179947/399346210459534193856000)*n^2 + (1694094223/497296800)*n + 1