Minmax Sequences for Pell Numbers

A. F. Horadam

A chapter in Applications of Fibonacci Numbers, 1996, pp 231-249 from Springer

Abstract: Abstract Roots of the quadratic equation (1.1) $$ {x^2} - 2x - 1 = 0 $$ are (1.2) $$ \left\{ {\begin{array}{*{20}{c}} {\alpha = 1 + \sqrt 2 } \\ {\beta = 1 - \sqrt 2 } \end{array}} \right. $$ so that (1.3) $$ \alpha + \beta = 2,\alpha \beta = - 1,\alpha - \beta = 2\sqrt 2 $$ .

Keywords: Recurrence Relation; Summation Formula; Fibonacci Number; Maximal Representation; Lucas Number (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-94-009-0223-7_19

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