Curtis N. Cooper, Robert E. Kennedy, "A generalization of a theorem by Cheo and Yien concerning digital sums", International Journal of Mathematics and Mathematical Sciences, vol. 9, Article ID 846161, 4 pages, 1986. https://doi.org/10.1155/S0161171286001011
A generalization of a theorem by Cheo and Yien concerning digital sums
For a non-negative integer , let denote the digital sum of . Cheo and Yien proved that for a positive integer , the sum of the terms of the sequenceis . In this paper we let be a positive integer and determine that the sum of the sequenceis also . The constant implicit in the big-oh notation is dependent on .
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