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正整数的k次方数数列的求和
引用本文:郭永平,郭金保. 正整数的k次方数数列的求和[J]. 延安大学学报(自然科学版), 2008, 27(2): 3-4
作者姓名:郭永平  郭金保
作者单位:延安大学,数学与计算机科学学院,陕西,延安,716000
摘    要:设n是正整数,a(n)表示不超过n的最大k次方数,b(n)表示不小于n的最小k次方数。利用数列a(n)和b(n)的性质,给出了a(n)和b(n)两个数列的求和公式。

关 键 词:k次方数  数列  求和公式

The Sum of the k-th Power Number's Sequence of a Positive Integral
GUO Yong-ping,GUO Jin-bao. The Sum of the k-th Power Number's Sequence of a Positive Integral[J]. Journal of Yan'an University(Natural Science Edition), 2008, 27(2): 3-4
Authors:GUO Yong-ping  GUO Jin-bao
Affiliation:GUO Yong - ping, GUO Jin - bao ( College of Mathematics and Computer Science, Yanan University, Yanan, Shaanxi 71600)
Abstract:Let n be a positive integer, a(n) be the largest k -power number less than n equal to n, and b(n) be the smallest k - power number greater than n or equal to n. The main purpose of this paper is to study two sum for- mulas of the sequences { a (n) } and { b (n) }.
Keywords:k - power number  sequence  sum formula
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