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Published online by Cambridge University Press: 20 November 2018
Let A: {a1, ≤ a2, ≤ ߪ ≤ at} be a set of non-negative integers not exceeding n, and let rn(A;m) = rr(m) denote the numbers of representations of m as the sum of k a's, order taken into account, i. e.
1
Since 0 ≤ ai1 + ai2 + … + aik ≤ kn, we have
2