Invariants for Linear Recurrences

Mihai Caragiu and William Webb

A chapter in Applications of Fibonacci Numbers, 1999, pp 75-81 from Springer

Abstract: Abstract There is no homogeneous polynomial of degree two, $$\phi (x,y) = a{{x}^{2}} + bxy + c{{y}^{2}} $$ for which the classical Fibonacci sequence {F n} satisfies an identity of the form $$\phi(F_{n},F_{n-1}) = constant$$ .

Keywords: 11B37; 11B39 (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-94-011-4271-7_8

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