The asymptotic behavior of a family of sequences

  title={The asymptotic behavior of a family of sequences},
  author={P. Erdo and Alexandra Hildebrand and Andrew M. Odlyzko and Paul R. Pudaite and B. Reznick},
A class of sequences defined by nonlinear recurrences involving the greatest integer function is studied, a typical member of the class being a(0) = 1 , a(n) = a( n /2) + a( n /3) + a( n /6) for n ≥ 1. For this sequence, it is shown that lim a(n)/ n as n → ∞ exists and equals 12/(log 432). More generally, for any sequence defined by a(0) = 1 , a(n… CONTINUE READING