Lucas polynomial

Lucas polynomials are a sequence of mathematical expressions that follow a specific recursive pattern, similar to the Fibonacci sequence but with different starting points. They are defined using two initial values and a rule that relates each term to the previous two. These polynomials appear in number theory, combinatorics, and algebra, often helping to analyze mathematical properties related to divisibility and identities. Essentially, they are a way to generate a series of interconnected formulas that evolve predictably, providing insight into patterns and relationships within numbers and algebraic structures.