Journal of Integer Sequences, Vol. 26 (2023), Article 23.6.5

On an Identity by Bruckman and Good

Hongshen Chua
Puchong 47170


This paper introduces a variation on an identity by Bruckman and Good. Using this identity, we are able to derive various well-known sums involving reciprocals of Fibonacci and Lucas numbers, including the case when the indices form an arithmetic progression. Moreover, we provide generalizations of the Millin series.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A000032 A000045.)

Received May 5 2023; revised versions received May 9 2023; June 14 2023. Published in Journal of Integer Sequences, June 18 2023.

Return to Journal of Integer Sequences home page