  The golden binomials, introduced in the golden quantum calculus, have
expansion determined by Fibonomial coefficients and the set of simple zeros
given by powers of Golden ratio. We show that these golden binomials are
equivalent to Carlitz characteristic polynomials of certain matrices of
binomial coefficients. It is shown that trace invariants for powers of these
matrices are determined by Fibonacci divisors, quantum calculus of which was
developed very recently.
