G.f.: (x^31 -790*x^30 +197387*x^29 -22578530*x^28 +1420463995*x^27 
-54528655087*x^26 +1359415105814*x^25 -22898044328591*x^24 
+267680364326362*x^23 -2214843617791685*x^22 +13173144772803268*x^21 
-57040712678502610*x^20 +181749224417078776*x^19 
-429926022260970142*x^18 +760231624593043056*x^17 
-1009705532900346446*x^16 +1009705532900346446*x^15 
-760231624593043056*x^14 +429926022260970142*x^13 
-181749224417078776*x^12 +57040712678502610*x^11 
-13173144772803268*x^10 +2214843617791685*x^9 -267680364326362*x^8 
+22898044328591*x^7 -1359415105814*x^6 +54528655087*x^5 
-1420463995*x^4 +22578530*x^3 -197387*x^2 +790*x -1)/( -x^32 +989*x^31 
-297177*x^30 +39687581*x^29 -2870938929*x^28 +125866549709*x^27 
-3574487862001*x^26 +68534901051869*x^25 -911803001143321*x^24 
+8585065341436957*x^23 -58096997326051905*x^22 
+286230180847745070*x^21 -1038052511465703094*x^20 
+2797526034931937278*x^19 -5646220475933195574*x^18 
+8584218556222705486*x^17 -9866686348925002518*x^16 
+8584218556222705486*x^15 -5646220475933195574*x^14 
+2797526034931937278*x^13 -1038052511465703094*x^12 
+286230180847745070*x^11 -58096997326051905*x^10 +8585065341436957*x^9 
-911803001143321*x^8 +68534901051869*x^7 -3574487862001*x^6 
+125866549709*x^5 -2870938929*x^4 +39687581*x^3 -297177*x^2 +989*x -1).