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问一个数列的求和公式

Posted by wc171170 at 2006-05-12 21:09:23 on Problem 1019
a[1]=1,a[n]=a[n-1]+n的位数(a[n]=a[n-1]+int(lg(n))+1)
换句话说:a[1]到a[9]为公差为1的等差数列,a[9]到a[99]为公差为2的等差数列,a[99]到a[999]为公差为3的等差数列……
这个数列的前n项和怎么求?

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