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The generalized Fibonacci and Lucas numbers are defined by a n-B n ^ ^ z f-> K = ""+fi n (i) where a = P+ ^ P 2 ~ 4q , (3 = P ~^ P 2 ~ 4q , p > 0, q^O, and p 2-4q > 0. It is obvious that {£/ " } and {VJ are the usual Fibonacci and Lucas sequences {FJ and {LJ when p =-q = l. Recently, for the Fibonacci numbers, Zhang established the following identities in(More)
BACKGROUND Owing to the rapid expansion of RNA structure databases in recent years, efficient methods for structure comparison are in demand for function prediction and evolutionary analysis. Usually, the similarity of RNA secondary structures is evaluated based on tree models and dynamic programming algorithms. We present here a new method for the(More)