The Fibonacci sequence has been generalized in many ways. One of them is defined by the relation t n = at n−1 + t n−2 if n is even, and t n = bt n−1 + t n−2 if n is odd, with initial values t 0 = 0 and t 1 = 1, where a and b are positive integers. This sequence is called the bi-periodic Fibonacci sequence. In the present article, we introduce a q-analog of the bi-periodic Fibonacci sequence, and prove several identities involving this sequence. We also give a combinatorial interpretation of

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... q-analog bi-periodic Fibonacci sequence in terms of weighted colored tilings.