Geodesic
Sieve-Generated Sequences
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 291-299

Voir la notice de l'article provenant de la source Cambridge University Press

We shall consider a generalization of the sieve process introduced by W. E. Briggs (1) in 1963. Let A (1) be the sequence {ak (1)}, where ak (1) = k + 1, so that A (1) = {2, 3, 4, ... }. Suppose inductively that A (1), A (2), ... , A (n) has been defined. 4(n+1) will be defined from A(n) = {a1(n) , a2 (n), a3 (n), ...} in the following manner: For each integer t ⩾ 0, choose an arbitrary element αt(n) from the set where an = an(n) , and delete the elements αt(n) from A(n) to form A(n+1). The sequence A is defined to be the sequence {an}. It is also the set-theoretic intersection of all the sequences A(n), n — 1, 2, ... . Let be the class of all sequences that can be generated by this sieve process. 
Wunderlich, M. C. Sieve-Generated Sequences. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 291-299. doi: 10.4153/CJM-1966-031-4
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