Empirical: a(n) = (1/8222838654177922817725562880000000)*n^31 + (1/17683523987479403909087232000000)*n^30 + (1/79536089898707963609088000000)*n^29 + (19/10697836653042591596544000000)*n^28 + (77951/435554778016734086430720000000)*n^27 + (5767/420825872479936315392000000)*n^26 + (3538099/4264172651912081965056000000)*n^25 + (127515413/3127059944735526774374400000)*n^24 + (77568350263/46905899171032901615616000000)*n^23 + (518873/9296350634665259827200)*n^22 + (93929917/59762254079990956032000)*n^21 + (238589587073/6474244191999020236800000)*n^20 + (18963051993687761/26512029966235987869696000000)*n^19 + (1057575809066303/93024666548196448665600000)*n^18 + (2387774111573143/16416117626152314470400000)*n^17 + (2674074750707029/1824013069572479385600000)*n^16 + (5826587430940301/503380230239158272000000)*n^15 + (172662649229005219/2214873013052296396800000)*n^14 + (183804488451826510721/305908038071953706188800000)*n^13 + (313636103323278153179/50984673011992284364800000)*n^12 + (116235132029829861621709/1911925237949710663680000000)*n^11 + (35143773271263846617/86006533421039616000000)*n^10 + (11264867088664081694237/8053897522498781184000000)*n^9 - (283695211592452401523/1938901255416373248000000)*n^8 - (128476907264197546722497/19178262417705431040000000)*n^7 + (2021166629058188645783/204212979447789312000000)*n^6 + (1435846463058023211043/27847224470153088000000)*n^5 + (38512915921842343/924877624310640000)*n^4 - (3228775533520638527/423012600284706432000)*n^3 - (2898809743986301/55954047656707200)*n^2 - (354141616/9153369225)*n