Type: Article

On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers

Bravo, J. J.; Komatsu, T.; Luca, F.;

Abstract:

Here, we find a lower bound for vertical bar F-n . . . Fn+k-1 - F-m(l)vertical bar for positive integers k, l, m and n in terms of max{k, l, m, n}, where F-s is the sth Fibonacci number. (c) 2012 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.