Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers

Curtis Bennett, Juan Carrillo, John Machacek +1

The Lucas sequence is a sequence of polynomials in s, and t defined recursively by {0}=0, {1}=1, and {n}=s{n-1}+t{n-2} for n >= 2. On specialization of s and t one can recover the…