高等数学研究
高等數學研究
고등수학연구
STUDIES IN COLLEGE MATHEMATICS
2011年
5期
22-25
,共4页
取整函数%整数列%二阶线性递归数列
取整函數%整數列%二階線性遞歸數列
취정함수%정수렬%이계선성체귀수렬
integer rounding functions%integer sequence%second order linear recursion sequence
讨论三类整数列，这些数列的后项均是由前项与非整数乘积再取整后得到的，对应的取整函数分别为四舍五入取整函数、下取整函数、上取整函数．结果表明这三类整数列均为二阶线性递归数列．
討論三類整數列，這些數列的後項均是由前項與非整數乘積再取整後得到的，對應的取整函數分彆為四捨五入取整函數、下取整函數、上取整函數．結果錶明這三類整數列均為二階線性遞歸數列．
토론삼류정수렬，저사수렬적후항균시유전항여비정수승적재취정후득도적，대응적취정함수분별위사사오입취정함수、하취정함수、상취정함수．결과표명저삼류정수렬균위이계선성체귀수렬．
For a given function, a sequence can be constructed as following： the current l;erm is the function of the product of the previous term and a fixed non-integer constant. Three rounding integer functions are considered in this paper. The results indicate that the corresponding sequences are the second order linear recursion sequences.
