On factorials expressible as sums of at most three Fibonacci numbers

On Factorials Expressible as Sums of at Most Three Fibonacci Numbers

In this paper, we determine all the factorials which are a sum of at most three Fibonacci numbers.

Repdigits as sums of three Fibonacci numbers

In this paper, we find all base 10 repdigits which are sums of three Fibonacci numbers. AMS subject classifications: Primary 11D61; Secondary 11A67, 11B39

Factorials as sums

Aliquot sums of Fibonacci numbers

Here, we investigate the Fibonacci numbers whose sum of aliquot divisors is also a Fibonacci number (the prime Fibonacci numbers have this property).

Alternating sums of reciprocal generalized Fibonacci numbers

ABSTRACT Recently Holliday and Komatsu extended the results of Ohtsuka and Nakamura on reciprocal sums of Fibonacci numbers to reciprocal sums of generalized Fibonacci numbers. The aim of this work is to give similar results for the alternating sums of reciprocals of the generalized Fibonacci numbers with indices in arithmetic progression. Finally we note our generalizations of some results of ...