Abstract
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.
Original language | English (US) |
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Pages (from-to) | 227-241 |
Number of pages | 15 |
Journal | Pacific Journal of Mathematics |
Volume | 126 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1987 |
Externally published | Yes |