A New Statistic on Linear and Circular $r$-Mino Arrangements

  • Mark A. Shattuck
  • Carl G. Wagner

Abstract

We introduce a new statistic on linear and circular $r$-mino arrangements which leads to interesting polynomial generalizations of the $r$-Fibonacci and $r$-Lucas sequences. By studying special values of these polynomials, we derive periodicity and parity theorems for this statistic.

Published
2006-04-28
Article Number
R42