gf:= -(x^81 +2*x^79 -25*x^78 +3*x^77 -38*x^76 +326*x^75 -66*x^74 +353*x^73 
 -2925*x^72 +740*x^71 -2058*x^70 +20087*x^69 -5594*x^68 +7772*x^67 -111133*x^66 
 +31740*x^65 -14473*x^64 +508678*x^63 -142279*x^62 -36709*x^61 -1953766*x^60 
 +517395*x^59 +442545*x^58 +6345642*x^57 -1548706*x^56 -2150047*x^55 
 -17500089*x^54 +3848511*x^53 +7261385*x^52 +41057489*x^51 -7980860*x^50 
 -18907425*x^49 -81969216*x^48 +13850919*x^47 +39421313*x^46 +139096608*x^45 
 -20132798*x^44 -66916967*x^43 -200115480*x^42 +24471424*x^41 +93108680*x^40 
 +243103445*x^39 -24765352*x^38 -106282718*x^37 -247970806*x^36 +20695868*x^35 
 +99183719*x^34 +210816555*x^33 -14083109*x^32 -75134734*x^31 -148005742*x^30 
 +7621626*x^29 +45722662*x^28 +84842433*x^27 -3145485*x^26 -22046062*x^25 
 -39177572*x^24 +906507*x^23 +8275977*x^22 +14341357*x^21 -136442*x^20 
 -2365027*x^19 -4082961*x^18 -14598*x^17 +499341*x^16 +883217*x^15 +13593*x^14 
 -74663*x^13 -140874*x^12 -3477*x^11 +7400*x^10 +15886*x^9 +473*x^8 -431*x^7 
 -1186*x^6 -34*x^5 +11*x^4 +52*x^3 +x^2 -1) / (x^84 +3*x^82 -26*x^81 +5*x^80 
 -59*x^79 +351*x^78 -107*x^77 +539*x^76 -3356*x^75 +1170*x^74 -2922*x^73 
 +25469*x^72 -8766*x^71 +8634*x^70 -159798*x^69 +50677*x^68 +6892*x^67 
 +837431*x^66 -238722*x^65 -251775*x^64 -3671562*x^63 +937114*x^62 +1719305*x^61 
 +13484301*x^60 -3089861*x^59 -7731592*x^58 -41580114*x^57 +8584768*x^56 
 +26363451*x^55 +107939575*x^54 -20146633*x^53 -71453406*x^52 -236411735*x^51 
 +40020155*x^50 +157247535*x^49 +437393788*x^48 -67367825*x^47 -283988520*x^46 
 -683526406*x^45 +96027611*x^44 +422899067*x^43 +900862378*x^42 -115502583*x^41 
 -519637980*x^40 -998316821*x^39 +116423644*x^38 +525529289*x^37 +925970519*x^36 
 -97283039*x^35 -435105777*x^34 -714445604*x^33 +66368425*x^32 +292535135*x^31 
 +454995780*x^30 -36225255*x^29 -157963550*x^28 -236914060*x^27 +15401600*x^26 
 +67508612*x^25 +99707518*x^24 -4911609*x^23 -22384224*x^22 -33440486*x^21 
 +1102078*x^20 +5598809*x^19 +8778031*x^18 -148985*x^17 -1012445*x^16 
 -1760693*x^15 +4150*x^14 +123054*x^13 +260927*x^12 +2532*x^11 -8520*x^10 
 -27174*x^9 -484*x^8 +137*x^7 +1834*x^6 +37*x^5 +21*x^4 -69*x^3 -x^2 -x +1):
a:= n-> coeff(series(gf, x, n+1), x, n):
seq(a(n), n=0..30);