Moments for generalized Farey-Brocot partitions
نویسندگان
چکیده
منابع مشابه
Binary partitions of integers and Stern-Brocot-like trees
We study partitions of an integer n in which all parts are powers of 2, no power of 2 appearing more than twice. If b(n) is the number of these, and B(n) = P j n b(j), then we nd (a) that gcd (b(n); b(n+ 1)) = 1, and that every coprime (i; j) occurs exactly once as a pair of consecutive values (b) the asymptotic behavior of B(t2), for xed 1 < t < 2, as n!1 (c) descriptions of b(n) in terms of t...
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ژورنال
عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici
سال: 2008
ISSN: 0208-6573
DOI: 10.7169/facm/1229696536