Empirical: a(n) = (1/147616399519802070423809304821760000000)*n^34 + (1/310118486386138803411364085760000000)*n^33 + (293/394696255400540295250827018240000000)*n^32 + (2719/24668515962533768453176688640000000)*n^31 + (6869/578733512317507764297400320000000)*n^30 + (82763/83764060993323492200939520000000)*n^29 + (17543/265120299662359878696960000000)*n^28 + (40211/10980372555043716464640000000)*n^27 + (24979468649/146346405413622653040721920000000)*n^26 + (224883151/33110046473670283493376000000)*n^25 + (2885264323027/12383157381152686026522624000000)*n^24 + (48591878117/7004048292507175354368000000)*n^23 + (172316961451/956825141638592043417600000)*n^22 + (92846408982259/22724597113916561031168000000)*n^21 + (293121373589719/3615276813577634709504000000)*n^20 + (111895385355163679/79536089898707963609088000000)*n^19 + (48546595264213095619/2277243837099849063333888000000)*n^18 + (9429088168960783669/33488879957350721519616000000)*n^17 + (12338374789804943444777/3817732315137982253236224000000)*n^16 + (546957832926145293269/17043447835437420773376000000)*n^15 + (898237088243614889161607/3280863708321703498874880000000)*n^14 + (250548148554969679652897/126187065704680903802880000000)*n^13 + (12697366189977063653890813/1055382731348240286351360000000)*n^12 + (1915288953584969913017/31417680737920942080000000)*n^11 + (27871191719060347245076487/103939208390356997898240000000)*n^10 + (918925128588090652909163/800652165471937658880000000)*n^9 + (109584123416717882292966187/21172801709146795868160000000)*n^8 + (626094350974052349295321/25947060918072053760000000)*n^7 + (1390147380055609864303411/30898311672969861120000000)*n^6 + (36684692308244765769401/3331224227242063152000000)*n^5 + (18248301277602700299148607/12754497813215927408640000)*n^4 - (278833104194223833333543/144247296697084893312000)*n^3 + (58250150660665049101/8935691853055968000)*n^2 - (151864264204739/72201776446800)*n + 4