G.f.: 
-(x^92 +x^91 -x^88 -3*x^85 -20*x^84 -20*x^83 -4*x^82 -2*x^81 
+18*x^80 -x^79 +6*x^78 +50*x^77 +166*x^76 +166*x^75 +61*x^74 
+21*x^73 -126*x^72 +9*x^71 -95*x^70 -322*x^69 -794*x^68 
-737*x^67 -347*x^66 -82*x^65 +498*x^64 -17*x^63 +531*x^62 
+1115*x^61 +2334*x^60 +1949*x^59 +977*x^58 +102*x^57 
-1320*x^56 -101*x^55 -1485*x^54 -2334*x^53 -4310*x^52 
-3246*x^51 -1565*x^50 +71*x^49 +2360*x^48 +346*x^47 
+2439*x^46 +3018*x^45 +5196*x^44 +3473*x^43 +1600*x^42 
-339*x^41 -2771*x^40 -538*x^39 -2470*x^38 -2487*x^37 
-4002*x^36 -2358*x^35 -976*x^34 +425*x^33 +2097*x^32 
+473*x^31 +1465*x^30 +1266*x^29 +1825*x^28 +967*x^27 
+305*x^26 -245*x^25 -956*x^24 -211*x^23 -463*x^22 -356*x^21 
-442*x^20 -219*x^19 -41*x^18 +57*x^17 +228*x^16 +39*x^15 
+67*x^14 +48*x^13 +51*x^12 +25*x^11 +2*x^10 -4*x^9 -25*x^8 
-2*x^7 -3*x^6 -2*x^5 -2*x^4 -x^3 +1) / 
(x^100 +x^99 -x^98 -x^97 -x^96 -5*x^93 -29*x^92 -27*x^91 
+11*x^90 +13*x^89 +26*x^88 +2*x^87 +7*x^86 +93*x^85 
+306*x^84 +260*x^83 -4*x^82 -77*x^81 -218*x^80 +6*x^79 
-188*x^78 -675*x^77 -1748*x^76 -1288*x^75 -341*x^74 
+245*x^73 +935*x^72 -132*x^71 +1310*x^70 +2770*x^69 
+5904*x^68 +3883*x^67 +1714*x^66 -501*x^65 -2651*x^64 
+330*x^63 -4233*x^62 -6989*x^61 -12568*x^60 -7882*x^59 
-4175*x^58 +753*x^57 +5590*x^56 -483*x^55 +8100*x^54 
+11334*x^53 +18313*x^52 +11028*x^51 +6165*x^50 -1098*x^49 
-8592*x^48 +458*x^47 -10047*x^46 -12096*x^45 -18079*x^44 
-10587*x^43 -5493*x^42 +1189*x^41 +9232*x^40 -134*x^39 
+7862*x^38 +8307*x^37 +11269*x^36 +6623*x^35 +2690*x^34 
-766*x^33 -6394*x^32 -42*x^31 -3587*x^30 -3255*x^29 
-4091*x^28 -2498*x^27 -688*x^26 +181*x^25 +2538*x^24 
+50*x^23 +865*x^22 +598*x^21 +766*x^20 +517*x^19 +100*x^18 
+44*x^17 -506*x^16 -18*x^15 -105*x^14 -39*x^13 -58*x^12 
-46*x^11 -6*x^10 -17*x^9 +42*x^8 +x^7 +5*x^6 +x^4 +x^3 +x -1).