论文部分内容阅读
对Padovan数列的一些简单性质进行了探索,得到一些有趣的研究结果,主要有:①通项公式的变形、前n项的部分和,结果在定理1及其推论中.②前n项的平方和,结果在定理2中.③相邻三项的关系,结果在定理3中.④Padovan数的组合数表示,结果在定理4中.如果没有特别的说明,P(n)表示的是Padovan数列,F(n)是Fibonacci数列.对于Padovan
Some simple properties of Padovan series are explored and some interesting results are obtained. The main results are as follows: (1) The deformation of the general formula, the partial sum of the first n terms, and the result in Theorem 1 and its corollary. (2) The square of the first n And the result is in Theorem 2. ③ The relationship between three adjacent terms is in Theorem 3. The combination of Padovan numbers shows the result in Theorem 4. If there is no special explanation, P (n) represents the Padovan sequence , F (n) is the Fibonacci sequence. For Padovan