A general two-term recurrence and its solution

  • Authors:
  • Toufik Mansour;Shashikant Mulay;Mark Shattuck

  • Affiliations:
  • Department of Mathematics, University of Haifa, 31905 Haifa, Israel;Department of Mathematics, University of Tennessee, Knoxville, TN 37996, United States;Department of Mathematics, University of Haifa, 31905 Haifa, Israel

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2012

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Abstract

We find a general explicit formula for all sequences satisfying a two-term recurrence of a certain kind. This generalizes familiar formulas for the Stirling and Lah numbers.