Kennedy, Robert K.; Cooper, Curtis N.; Drobot, Vladimir; Hickling, Fred On the natural density of the range of the terminating nines function. (English) Zbl 0688.10006 Int. J. Math. Math. Sci. 12, No. 4, 805-808 (1989). The function \(t(n)=\sum_{t\geq 1}[n/10^ t]\), where [ ] is the integer part function, gives the number of terminating nines which occur in the natural numbers up to n but not including n. Let T be the set defined by \(T=\{t(n):\) \(n=1,2,...\}\) and denote by T(x) the number of elements in T not exceeding x. The authors show that \(\lim_{x\to \infty}(T(x)/x)=9/10.\) Reviewer: P.Kiss Cited in 1 Document MSC: 11A63 Radix representation; digital problems Keywords:digital sums; terminating nines; natural density PDFBibTeX XMLCite \textit{R. K. Kennedy} et al., Int. J. Math. Math. Sci. 12, No. 4, 805--808 (1989; Zbl 0688.10006) Full Text: DOI EuDML