关于Smarandache问题中逆序排列的偶数数列的性质  

On the sequences of Smarandache problem

作　　者：杨倩丽[1] 李赟[1] 

机构地区：[1]渭南师范学院数学系,陕西渭南714000

出　　处：《纯粹数学与应用数学》2006年第3期325-329,共5页Pure and Applied Mathematics

基　　金：国家自然科学基金资助项目(10271093);陕西省教育厅基金项目(05JK189)

摘　　要：主要研究了Sm arandache问题中逆序排列的偶数数列的算术性质,采用递推,归纳,猜想的办法,得出了Sm arandache问题中逆序排列的偶数数列的递推公式、通项的精确表达式以及几个相关的性质.引理和定理的证明主要用了递推和数学归纳法.解决了文[1]中的部分问题,对于Sm arandache问题中的数列有推动作用.The main purpose of this paper is to study the arithmetical properties of the Smarandache back concatenated even sequences. The methods of recursion, induction, guessed were used, obtain Smarandache in the issue against even number recurrence formula, coherent accurate expression formula and several relevant property of item of line that preface arrange. The proof of lemma and theorem are mainly by recursion. This paper solves some problems of , show the impetus for the number in Smarandache question, and have offered the important method for studying some sequences too.

关 键 词：Smarandache7问题中逆序排列的偶数数列 算术性质 递推公式 

分 类 号：O156.4[理学—数学]