Empirical: a(n) = (1/41535493356069512000681653297103373286244352000000000)*n^44 + (1/198734417971624459333405039699059202326528000000000)*n^43 + (907/351251529438219974635785651561127892484096000000000)*n^42 + (17807/100357579839491421324510186160322254995456000000000)*n^41 + (103/1248849923338618981141241739177728409600000000)*n^40 - (11503/13449153020569742873828757191144767488000000000)*n^39 + (6962731/4307245085019067979200059492588847104000000000)*n^38 - (8634839821/69369315579780779033432537091167748096000000000)*n^37 + (750593887/27571270103251502000569370862944256000000000)*n^36 - (200508935839/66958798822182219144239900667150336000000000)*n^35 + (3264149043931/8093920736747301215237790190534656000000000)*n^34 - (49788714451117/1125357963398020489819157994405888000000000)*n^33 + (53538340867414441/11200828479445922687731306913071104000000000)*n^32 - (55848338578869332017/119475503780756508669133940406091776000000000)*n^31 + (164894674604722258633/3854048509056661569972062593744896000000000)*n^30 - (3958179995889403834867/1101156716873331877134875026784256000000000)*n^29 + (49860572139235153687/180107606477511563955634962432000000000)*n^28 - (272979822140184458921/14186937617920910883890015502336000000)*n^27 + (4668804350604699308378353577/3962411676685310409870481329802444800000000)*n^26 - (25030348788460493881965425839/417095965966874779986366455768678400000000)*n^25 + (114761947660456163717125426563007/54483160554423018135719118284783616000000000)*n^24 + (4084554096985500287905136708423/404327722110745960190865441816576000000000)*n^23 - (19226782675862160926607882530987/1829537204121022444302558560256000000000)*n^22 + (989253400348603149746609990268225811/808655444221491920381730883633152000000000)*n^21 - (51522312162550210905751961157918553703/505013252910872895375649581249331200000000)*n^20 + (48129868205736561600609092254622730842279/6777809446961715174778454906241024000000000)*n^19 - (733330326561568350501094435003522179344269/1694452361740428793694613726560256000000000)*n^18 + (167784955118372481862797421307051981102417/7119547738405162998716864397312000000000)*n^17 - (4267291330740760761562083798917035658227171/3686908650245530838621233348608000000000)*n^16 + (4171268220423490373286441399614352359218189/81030959346055622826840293376000000000)*n^15 - (2458905885063452198113165677394127795219942408671/1184703012249087976586965154267136000000000)*n^14 + (10882902339331847475387102730907934108312243012557/143600365121101572919632139911168000000000)*n^13 - (508466966727693086635441127216889989138806351234957/203433850588227228302812198207488000000000)*n^12 + (718305353464130480340593194758715706424227430736121/9687326218487010871562485628928000000000)*n^11 - (17456211941197086554717793387633167251466026590247/8871177855757335962969309184000000000)*n^10 + (16507364307814044941547174879511853791909460563001/355942321372979529378398208000000000)*n^9 - (689899284331889516371817363169000210007543471180802252071/717276990943599012137114459652096000000000)*n^8 + (5457833686810848385593656690124224026758443103517229263/314595171466490794796980026163200000000)*n^7 - (392684988088405221416429658331049774612070754867709293/1465026533790030662044759925760000000)*n^6 + (824563736605580281835564683328325939176359171257737369/237194772137433535759627797504000000)*n^5 - (1102941789629496833441230535567509972040519614404521273/29964941802236001296244295987200000)*n^4 + (215942610339655631210626309753406027392255812583037/706798771559013239588401920000)*n^3 - (583968406382297217704010432929333794427252092991/313258577376186036923328000)*n^2 + (70018573262332428477423690237608131030409/9419588158802421600)*n - 14528897362392817442795 for n>52