Sieve-Generated Sequences with Translated Intervals
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 559-570

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Consider the following sieve process. Let A(1) be the sequence of integers greater than 1. Let A(n+1) be obtained from A (n) = {a1(n), a2(n), ...} by eliminating one element from each of the intervals Ik(n), where We let an = an(n) and A = {an} be the sequence of integers that survive the sieve. M. C. Wunderlich (8) has found a necessary and sufficient condition for an ∼ n log n and, in a more recent paper, M. Wunderlich and W. E. Briggs (9) have studied a subclass of the sequences defined above for which an ∼ n log n.
Buschman, R. G.; Wunderlich, M. C. Sieve-Generated Sequences with Translated Intervals. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 559-570. doi: 10.4153/CJM-1967-049-4
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