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The asymptotic
behavior of a family of sequences
Paul Erdős, Adolf J. Hildebrand, Andrew Odlyzko, Paul Pudaite and Bruce Reznick |
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Vol. 126 (1987), No. 2, 227–241
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Abstract |
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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 lima(n)∕n as n →∞ exists and equals 12∕(log 432). More generally, for any sequence defined by  where the ri > 0 and the mi are integers ≥ 2, the asymptotic behavior of a(n) is determined. |
Mathematical Subject Classification 2000
Primary: 11B37
Secondary: 11N37
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Milestones
Received: 19 July 1985
Published: 1 February 1987
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Authors |
| Paul Erdős | |
| Adolf J. Hildebrand | |
| Andrew Odlyzko | |
| Digital Technology Center University of Minnesota 117 Pleasant Street SE, 499 Walter Minneapolis MN 55455 United States |
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| http://www.dtc.umn.edu/~odlyzko | |
| Paul Pudaite | |
| Bruce Reznick | |
| Department of Mathematics and Center
for Advanced Study University of Illinois at Urbana-Champaign 1409 W. Green Street 327 Altgeld Hall Urbana IL 61801-2975 United States |
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