GeneralizedLucas.m

GeneralizedLucas(n,a,b) returns the generalized Lucas number with index n and parameters a and b.

For fixed integers a and b such that D = a^2 + 4*b is nonnegative, the sequence V_n = GeneralizedLucas(n,a,b) satisfies the recurrence
V_n = V_{n-1} + V_{n-2} and the initial conditions V_0 = 2 and V_1 = a. When a=b=1, this is the Lucas sequence.