用“有理”取代“无理”的斐波那契数列公式——揭示斐波那契数列与二项式的隐匿关系

By Rational Displace Irration"Fibonacci" Expressions——Concurrently Reveal a Relation of Binomial between Yang Hui Triangle

通过重置杨辉三角形的列,可得其派生型.从而发现,缺首项的斐波那契数列就在其中.引入“二步进序数列”,又可重建新三角形与此数列的关系,进而揭示了用有理数式描述该数列的新方法.

Through repeating the line of Yang Hui triangle,a new factional type can be got and the ＂fibonacci sequence＂ in defect of first term I in it can be discovered. If importing ＂two Steps Order Series＂, it can rebuild the math model of this triangle. Thereby a new means to denote this sequence expressions using rational can be revealed out.