J4 ›› 2011, Vol. 38 ›› Issue (3): 1-6.doi: 10.3969/j.issn.1001-2400.2011.03.001
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LIANG Changhong;TAN Kangbo;ZHANG Wei
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The Fibonacci Sequence can be seen as the 2-generation symmetrical genetic series, which corresponds to the golden section. It is extended to the Second-generation uneven K&M sequence and the corresponding partition in this paper. The N-generation Fibonacci Sequence and the Nth-generation golden section are proposed. It is specifically pointed out that the Nth-generation (N→∞) golden section is known as the Zhuangzi cutting rod.
Key words: K&M series, the Nth-generation Fibonacci Sequence, the Nth-generation golden section, Zhuangzi cutting rod
LIANG Changhong;TAN Kangbo;ZHANG Wei. N-generation Fibonacci sequence and the Nth-generation golden section[J].J4, 2011, 38(3): 1-6.
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URL: https://journal.xidian.edu.cn/xdxb/EN/10.3969/j.issn.1001-2400.2011.03.001
https://journal.xidian.edu.cn/xdxb/EN/Y2011/V38/I3/1
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