Fibonacci序列和Thue-Morse(TM)序列的推广及应用

Generalizing and Application of Fibonacci Sequence and Thue-morse(TM)Sequence

讨论了Fibonacci序列及广义Fibonacci序列的生成和应用.推广了TM序列使其由二进制扩展到四进制,构造了相应的短程定律,找到了序列的生长和消去规则,对于TM序列的推广,在科学研究中有重要的意义,尤其在生物的DNA测序上有广泛的应用.

This paper investigated product and application of the Fibonacci sequence and the generalized one. We extended the TM sequence that expanded to the quaternary system from the binary system, For the generalized TM sequence, we constituted the correspondence short-range law and found the growth and elimination rules of the sequence. There exists important significance in the study of science, especially in the examination the order of DNA.