ON THE RECURSIVE SEQUENCE X(N+1)=A X(N)+1/X(N-2)/

Authors
DEVAULT R LADAS G SCHULTZ SW
Citation
R. Devault et al., ON THE RECURSIVE SEQUENCE X(N+1)=A X(N)+1/X(N-2)/, Proceedings of the American Mathematical Society, 126(11), 1998, pp. 3257-3261
Citations number
2
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
11
Year of publication
1998
Pages
3257 - 3261
Database
ISI
SICI code
0002-9939(1998)126:11<3257:OTRSXX>2.0.ZU;2-R
Abstract
We show that every positive solution of the equation x(n + 1) = A/X-n + 1/ Xn - 2, n = 0, 1,..., where A is an element of (0, infinity), con verges to a period two solution.