Some Interesting Properties of General NSW Number
Group theory is an important topic and basic in mathematics and computer science.Many computative problems in computation science will adopt the idea and methods in group theory.Simple group,the basic of group theory,has many excellent properties in computation.The order of an group is the number of elements in the group.It is the very basic characterization of the group.NSW numbers are those numbers sn which satisfy the recurrence sn+1=6sn-sn-1 with initial conditions s1=1 and s2=7.NSW numbers were introduced in connection with the order of certain simple groups.Firstly,we define general NSW number hn and show another representant form for general NSW numbers.The representant form is an combination of two concrete NSW numbers.Secondly,we have the sum of first n odd terms of hn is a composite number.And the sum of first n terms,first n odd terms and first n even terms in an concrete NSW numbers tn are composite number.Thirdly,A infinite sum form about general NSW numbers based on generating function was proposed.Finally,We shows that there exist infinitely many composite numbers in sn.The answer of question 1 in section 1 is
Maonian Wu F uxing Shen Yingying Fu
College of Science,Guizhou University Guiyang,China School of Mathematics Beijing Normal University Beijing,China Department of Mathematics and Physics Beijing Technology and Business University Beijing,China
国际会议
太原
英文
31-34
2011-02-26（万方平台首次上网日期，不代表论文的发表时间）