Power-less natural number sequences. (English) Zbl 0948.11007
The author offers an elementary proof of the fact (due to Lambek and Moser) that the sequence \(\{[ n+(n+ [n^{1/k} ])^{1/k} ]\}\) generates all numbers which are not \(k\)th powers. (Here \([x]\) denotes the greatest integer \(\leq x\)).
Reviewer: József Sándor (Cluj-Napoca)
MSC:
11A67 | Other number representations |