Type: Article

On the number of antipodal bicolored necklaces

Florian Luca; Ricardo Strausz;

Abstract:

Let nu(2n) be the number of antipodal bicolored necklaces with 2n pearls. In this note, we find the first two terms of the asymptotic expansion of nu(2n). As a byproduct of this result, we also show that the sequence (nu(2n)) (na parts per thousand yen1) is non-holonomic, i.e., it satisfies no linear recurrence of a fixed finite order k with polynomial coefficients.