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arXiv 2009-09-03 0 views

A Class of Stationary Sequences

Smarandache, Florentin

Original · EN

We define a class of sequences aₙ by a₁=a and aₙ₊₁=P(aₙ), 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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