TY - JOUR
T1 - The asymptotic behavior of a family of sequences
AU - Erdös, P.
AU - Hildebrand, A.
AU - Odlyzko, A.
AU - Pudaite, P.
AU - Reznick, B.
PY - 1987/2
Y1 - 1987/2
N2 - A class of sequences defined by nonlinear recurrences involving the greatest integer function is studied, a typical member of the class being For this sequence, it is shown that lim a (n)/n as n → ∞ exists and equals 12/(log432). More generally, for any sequence defined by where the rt > 0 and the mi are integers ≥ 2, the asymptotic behavior of a(n) is determined.
AB - A class of sequences defined by nonlinear recurrences involving the greatest integer function is studied, a typical member of the class being For this sequence, it is shown that lim a (n)/n as n → ∞ exists and equals 12/(log432). More generally, for any sequence defined by where the rt > 0 and the mi are integers ≥ 2, the asymptotic behavior of a(n) is determined.
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U2 - 10.2140/pjm.1987.126.227
DO - 10.2140/pjm.1987.126.227
M3 - Article
AN - SCOPUS:84972550300
VL - 126
SP - 227
EP - 241
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
SN - 0030-8730
IS - 2
ER -