In praise of an elementary identity of Euler.
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Bhatnagar, Gaurav (2011)
The Electronic Journal of Combinatorics [electronic only]
Ladislav Skula (1980)
Journal für die reine und angewandte Mathematik
Demirtürk, Bahar, Keskin, Refik (2009)
Journal of Integer Sequences [electronic only]
Petra Kocábová, Zuzana Masáková, Edita Pelantová (2005)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
We study the properties of the function which determines the number of representations of an integer as a sum of distinct Fibonacci numbers . We determine the maximum and mean values of for .
Petra Kocábová, Zuzana Masáková, Edita Pelantová (2010)
RAIRO - Theoretical Informatics and Applications
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.
Gérard VIENNOT (1981/1982)
Seminaire de Théorie des Nombres de Bordeaux
Al-Zaid, Hassan, Singh, Surjeet (1996)
International Journal of Mathematics and Mathematical Sciences
Konstantin Selucký, Ladislav Skula (1981)
Archivum Mathematicum
David Frank (1975)
Commentarii mathematici Helvetici
Larry Ericksen (2006)
Acta Mathematica Universitatis Ostraviensis
We examine the congruences and iterate the digit sums of integer sequences. We generate recursive number sequences from triple and quintuple product identities. And we use second order recursions to determine the primality of special number systems.
Donald Robinson (1973)
Acta Arithmetica
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