hello... here is a continuous fraction that I found, 1/(u[0]+k[0]*q+v[0]*q^2)=1/(u[0]+k[0]*q+(v[0]*(u[1]*q^2+k[1]*q^4+v[1]*q^5))/(u[1]+k[1]*q^2+(v[1]*(u[2]*q^3+k[2]*q^6+v[2]*q^7))/(u[2]+k[2]*q^3+(v[2]*(u[3]*q^4+k[3]*q^8+v[3]*q^9))/(u[3]+k[3]*q^4+(v[3]*(u[4]*q^5+k[4]*q^10+v[4]*q^11))/(u[4]+k[4]*q^5+(v[4]*(u[5]*q^6+k[5]*q^12+v[5]*q^13))/(u[5]+k[5]*q^6+(v[5]*(u[6]*q^7+k[6]*q^14+v[6]*q^15))/(u[6]+k[6]*q^7+(v[6]*(u[7]*q^8+k[7]*q^16+v[7]*q^17))/(u[7]+k[7]*q^8+(v[7]*(u[8]*q^9+k[8]*q^18+v[8]*q^19))/(u[8]+k[8]*q^9+(v[8]*(u[9]*q^10+k[9]*q^20+v[9]*q^21))/(u[9]+k[9]*q^10+(v[9]*(u[10]*q^11+k[10]*q^22+v[10]*q^23))/(...))))))))))); approximate values... 1/(u[0]+k[0]*q+v[0]*q^2) = 1/(u[0]+k[0]*q+v[0]*(u[1]*q^2+k[1]*q^4+v[1]*q^5)/(u[1]+k[1]*q^2+v[1]*(u[2]*q^3+k[2]*q^6+v[2]*q^7)/(u[2]+k[2]*q^3+v[2]*(u[3]*q^4+k[3]*q^8+v[3]*q^9)/(u[3]+k[3]*q^4+v[3]*(u[4]*q^5+k[4]*q^10+v[4]*q^11)/(u[4]+k[4]*q^5+v[4]*(u[5]*q^6+k[5]*q^12+v[5]*q^13)/(u[5]+k[5]*q^6+v[5]*(u[6]*q^7+k[6]*q^14+v[6]*q^15)/(u[6]+k[6]*q^7+v[6]*(u[7]*q^8+k[7]*q^16+v[7]*q^17)/(u[7]+k[7]*q^8+v[7]*(u[8]*q^9+k[8]*q^18+v[8]*q^19)/(u[8]+k[8]*q^9+v[8]*(u[9]*q^10+k[9]*q^20+v[9]*q^21)/(u[9]+k[9]*q^10+v[9]*(u[10]*q^11+k[10]*q^22+v[10]*q^23))))))))))) ; reccurently j have obtain this type of continuous fraction for all : 1/(u[0)+k[0]*q+v[0]*q^2+b[0]*q^3+...+w[0]*q^n)