N-rationality of a certain class of formal series

  • Authors:

  • Sylvain Lavallée

  • Affiliations:

  • Universite du Quebec Montreal, Dept. Mathematiques, LACIM, C.P. 8888, Succ. A, QUE., H3C 3P8, Montreal, Canada

  • Venue:
  • Information Processing Letters
  • Year:
  • 2008

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Abstract

A series of the form (1-ax+bx^k)^-^1, where a@?N, b@?Z and k=2@?N is N-rational if and only if (k-1)^k^-^1a^k-k^kb=0.