Corpus ID: 125192083

K-interpolated sequences

  title={K-interpolated sequences},
  author={Daniel P. Maki and Onnie Lynn Winebarger},
  • Daniel P. Maki, Onnie Lynn Winebarger
  • Published 2006
  • Mathematics
  • We define k-interpolated sequences by a family of divide-and-conquer recurrence equations. These sequences are k-regular after a segment of initial values. A k-regular sequence is computed with an auxiliary vector. For k-interpolated sequences, this vector is embedded in the sequence itself. The generating function of a k-interpolated sequence satisfies a functional equation of Mahlerian type. We show when such a functional equation is solved by the generating function of a k-interpolated… CONTINUE READING