Abstract
Let { a n } n = 0 ∞ be an integer sequence defined by the non-degenerate binary linear recurrence a n = A a n − 1 + Ba n − 2 , where a 0 = 0, a 1 ≠ 0, and A, B are fixed non-zero integers. It is proved, for a certain constant κ, that 6(1−K) log|a 1a 2…a N| log[A 1,a 2,…,a N] 1 2 =π+0 1 logn , which is the generalization of the formula of P. Kiss and F. Mátyás.
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