Notes on Fibonacci Partitions
نویسندگان
چکیده
منابع مشابه
Notes on Fibonacci Partitions
Abstract. Let f1 = 1, f2 = 2, f3 = 3, f4 = 5, . . . be the sequence of Fibonacci numbers. It is well known that for any natural n there is a unique expression n = fi1 + fi2 + · · · + fiq , such that ia+1 − ia > 2 for a = 1, 2, . . . , q− 1 (Zeckendorf Theorem). By means of it we find an explicit formula for the quantity Fh(n) of partitions of n with h summands, all parts of them are the pairwis...
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ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2016
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2015.1118416