a:= n-> coeff(series((x-1) *(x+1) *(x^2-x+1) *(x^2+x+1) *(x^3+x+1) 
*(x^3+x-1) *(2*x^61 +2*x^60 +6*x^59 +4*x^58 -5*x^56 -40*x^55 -42*x^54 
-88*x^53 -63*x^52 -11*x^51 +36*x^50 +173*x^49 +250*x^48 +201*x^47 
+341*x^46 -132*x^45 +88*x^44 -91*x^43 -321*x^42 +848*x^41 -757*x^40 
+997*x^39 -1198*x^38 -1226*x^37 -912*x^36 -4080*x^35 +808*x^34 
-1957*x^33 +3440*x^32 +3308*x^31 +2564*x^30 +5838*x^29 -875*x^28 
+1092*x^27 -4122*x^26 -2922*x^25 -2023*x^24 -3432*x^23 +839*x^22 
+151*x^21 +2302*x^20 +1092*x^19 +480*x^18 +896*x^17 -353*x^16 
-210*x^15 -610*x^14 -178*x^13 +16*x^12 -96*x^11 +59*x^10 +40*x^9 
+72*x^8 +10*x^7 -15*x^6 +3*x^5 -3*x^4 -2*x^3 -3*x^2 +1)*(x^18 -x^16 
-2*x^14 +x^12 +14*x^10 +14*x^8 -7*x^4 -2*x^2+1) / (2*x^101 +2*x^100 
+4*x^99 -6*x^98 -20*x^97 -41*x^96 -66*x^95 -9*x^94 +86*x^93 +352*x^92 
+696*x^91 +684*x^90 +813*x^89 -911*x^88 -1837*x^87 -4765*x^86 
-6002*x^85 -3438*x^84 -1452*x^83 +13254*x^82 +20695*x^81 +33723*x^80 
+40962*x^79 +15829*x^78 +8096*x^77 -70098*x^76 -99327*x^75 
-176971*x^74 -182665*x^73 -171364*x^72 -63785*x^71 +87370*x^70 
+236797*x^69 +565750*x^68 +318053*x^67 +882393*x^66 -62034*x^65 
+494432*x^64 -191764*x^63 -699998*x^62 +731204*x^61 -2018982*x^60 
+1420407*x^59 -2401833*x^58 -740014*x^57 -976684*x^56 -4573315*x^55 
+2257694*x^54 -4170994*x^53 +5233693*x^52 +2873408*x^51 +4327587*x^50 
+8936229*x^49 -1426730*x^48 +5403835*x^47 -6918072*x^46 -4455839*x^45 
-5847705*x^44 -8747597*x^43 +945896*x^42 -3393037*x^41 +5733014*x^40 
+3735591*x^39 +3938578*x^38 +4681030*x^37 -888658*x^36 +926002*x^35 
-2909811*x^34 -1779942*x^33 -1382665*x^32 -1379014*x^31 +555354*x^30 
-13832*x^29 +866475*x^28 +475147*x^27 +231052*x^26 +210731*x^25 
-179806*x^24 -46071*x^23 -142909*x^22 -66585*x^21 -9021*x^20 
-13223*x^19 +28962*x^18 +8942*x^17 +11683*x^16 +4134*x^15 -2084*x^14 
-71*x^13 -2092*x^12 -580*x^11 -342*x^10 -56*x^9 +240*x^8 +26*x^7 
+42*x^6 +10*x^5 -2*x^4 -2*x^3 -7*x^2+1), x, n+1), x, n): 
seq(a(n), n=0..50);