On a problem of Erdős (Q5906300)

Let \(f(n)\) be the number of representations of the integer \(n\) as a sum of integers of the form \(2^p3^q\) (\(p\) and \(q\) are distinct nonnegative integers), where no summand divides the other. The authors study the behaviours of \(f(n)\) and \((\sum_{1\leq i\leq n} f(i))/n\).