Philip Lafrance

collaborators

2 papers

math.CO2015

Avoidability index for binary patterns with reversal

James D. Currie, Philip Lafrance

For every pattern $p$ over the alphabet ${x, y, x^{R}, y^{R}}$ , we specify the least $k$ such that $p$ is $k$ -avoidable.

math.CO2014

Some properties of a Rudin-Shapiro-like sequence

Philip Lafrance, Narad Rampersad, Randy Yee

We introduce the sequence $(i_{n})_{n \geq 0}$ defined by $i_{n} = (- 1)^{in v_{2} (n)}$ , where $in v_{2} (n)$ denotes the number of inversions (i.e., occurrences of 10 as a scattered subsequen…