Hively, L. M.; Uppuluri, V. R. R.; McMillan, W. G. Fibonacci-type relations among solutions to the Pell equation. (English) Zbl 0765.11010 J. Tenn. Acad. Sci. 67, No. 4, 65-69 (1992). For the solutions to the Pell equation \(x^ 2-Dy^ 2=1\) three recursion possibilities having the form of generalized Fibonacci series are given. There are also asymptotic formulas and some further relationships between the solutions. Reviewer: J.Piehler (Merseburg) MSC: 11D09 Quadratic and bilinear Diophantine equations 11B39 Fibonacci and Lucas numbers and polynomials and generalizations Keywords:recursion formulas; quadratic diophantine equations; Pell equation; generalized Fibonacci series; asymptotic formulas PDFBibTeX XMLCite \textit{L. M. Hively} et al., J. Tenn. Acad. Sci. 67, No. 4, 65--69 (1992; Zbl 0765.11010)