MMN-2520
Representations of reciprocals of Lucas sequences
H. R. Hashim; Sz. Tengely;Abstract
In 1953 Stancliff noted an interesting property of the Fibonacci number
$F_{11}=89.$ One has that
$$
\frac{1}{89}=\frac{F_0}{10}+\frac{F_1}{10^2}+\frac{F_2}{10^3}+\frac{F_3}{10^4}+\frac{F_4}{10^5}+\frac{F_5}{10^6}+\ldots.
$$
In this article we study similar problems in case of general Lucas sequences.
Vol. 19 (2018), No. 2, pp. 865-872