A New Statistic on Linear and Circular r-Mino Arrangements

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.

• Type: Journal
• Year: 2006
• Where: COMBINATORICS
• Authors: Mark A. Shattuck, Carl G. Wagner
• Keywords: Circular R-mino Arrangements, COMBINATORICS 2006, Interesting Polynomial Generalizations, Statistic