a1 Department of Mathematics, FNSPE, Czech Technical University, Trojanova 13, 120 00 Praha 2, Czech Republic; email@example.com, firstname.lastname@example.org, email@example.com
We study the properties of the function R(n) which determines the number of representations of an integer n as a sum of distinct Fibonacci numbers F k . We determine the maximum and mean values of R(n) for Fk ≤ n < Fk+1 .
(Received February 17 2004)
(Accepted June 8 2004)
(Online publication April 15 2005)
Mathematics Subject Classification: