On Reciprocal Sums of Second Order Sequences

R. S. Melham and A. G. Shannon

A chapter in Applications of Fibonacci Numbers, 1996, pp 355-364 from Springer

Abstract: Abstract Several authors have studied sequences of polynomials generated by third order recurrences where the polynomials had links with the Fibonacci numbers. Horadam [7] considered the polynomials 1 $$ {q_n}(x) = 2x{q_{n - 1}}(x) - {q_{n - 3}}(x),\,n \geqslant 3,\,({q_0}(x),{q_1}(x),{q_2}(x)) = (0,2,2x). $$

Date: 1996
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DOI: 10.1007/978-94-009-0223-7_30

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