A Class of Stationary Sequences

Details A Class of Stationary Sequences A Class of Stationary Sequences

2009-09-03

arxiv.org/abs/0909.0786v3

Gamma, XXIII, Year VIII, No. 1, pp. 5-6, October 1985

Mathematics

General Mathematics

2 pages

Scientific paper

We define a class of sequences ${a_n}$ by $a_1=a$ and $a_{n+1}=P(a_n)$, where
$P(x)$ is a polynomial with real coefficients. We then find out for which
values $a$ and for which polynomials $P(x)$ these sequences will be constant
after a certain rank. Then we generalize it from polynomials $P(x)$ to real
functions $f(x)$.

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