Properties of Sequences Generated by Summing the Digits of Cubed Positive Integers
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Having established some properties of sequences generated by summing the digits of squared positive
integers (Okagbue et al, 2015), we go a step further to explore the properties and characteristics of
sequences generated by summing the digits of cubed positive integers. The results are different from
summing the digits of squared positive integers. Two distinct sequences were obtained: one generated by
summing the digits of cubed positive integers and the other sequence as the complement of the first but
the domain remains the positive integers. The properties of these two sequences are discussed. The
properties include their decompositions, subsequences, algebraic, additive, multiplicative, divisibility,
uniqueness and ratios.
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QA Mathematics