Empirical: a(n) = (1/8222838654177922817725562880000000)*n^31 + (1/265252859812191058636308480000000)*n^30 + (211/53050571962438211727261696000000)*n^29 - (43/1829330067670283163009024000000)*n^28 + (22651/435554778016734086430720000000)*n^27 - (266333/145184926005578028810240000000)*n^26 + (211/524821249466102395699200)*n^25 - (10684127/493746307063504227532800000)*n^24 + (101609721163/46905899171032901615616000000)*n^23 - (256487176249/2039386920479691374592000000)*n^22 + (53972039063/6474244191999020236800000)*n^21 - (8512773014233/19422732575997060710400000)*n^20 + (587506424475709061/26512029966235987869696000000)*n^19 - (1364203300425262771/1395369998222946729984000000)*n^18 + (10991879100452675147/279073999644589345996800000)*n^17 - (23226625879260075527/16416117626152314470400000)*n^16 + (8616722338495316891/188767586339684352000000)*n^15 - (21806075561997009195587/16611547597892222976000000)*n^14 + (1283922986480361672788173/38238504758994213273600000)*n^13 - (29049282179539555567087271/38238504758994213273600000)*n^12 + (7228081086426837457050225271/477981309487427665920000000)*n^11 - (62854978468803534961683372187/238990654743713832960000000)*n^10 + (51877457786090129705786443241/13087583474060519424000000)*n^9 - (149063481533132633801271084421/2908351883124559872000000)*n^8 + (61921208895254661989988212567311/110275008901806228480000000)*n^7 - (9925722646170490600108095270877/1934649278979056640000000)*n^6 + (47393917262283251844887075621/1237654420895692800000)*n^5 - (1390548650132864765781401508097/6126389383433679360000)*n^4 + (433846309064646404522540308733/423012600284706432000)*n^3 - (926612557000804897407362797/279770238283536000)*n^2 + (49062604628325366151963/7220177644680)*n - 6644041492 for n>10