| Issue |
RAIRO-Theor. Inf. Appl.
Volume 39, Number 2, April-June 2005
|
|
|---|---|---|
| Page(s) | 343 - 359 | |
| DOI | https://doi.org/10.1051/ita:2005022 | |
| Published online | 15 April 2005 | |
Integers with a maximal number of Fibonacci representations
Department of Mathematics, FNSPE, Czech Technical University,
Trojanova 13, 120 00 Praha 2, Czech Republic; petra.kocabova@centrum.cz, masakova@km1.fjfi.cvut.cz, pelantova@km1.fjfi.cvut.cz
Received:
17
February
2004
Accepted:
8
June
2004
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 Fk. We determine the maximum and mean values of R(n) for Fk ≤ n < Fk+1.
Mathematics Subject Classification: 11A67 / 11B39
Key words: Fibonacci numbers / Zeckendorf representation.
© EDP Sciences, 2005
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