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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2509.17764 |
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| _version_ | 1866908552556183552 |
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| author | Deane, Jonathan H. B. Gentile, Guido |
| author_facet | Deane, Jonathan H. B. Gentile, Guido |
| contents | We continue work started in [1] concerning integer sequences q(n), n in N, defined by q(n) = q(n-q(n-1)) + f(n), with q(1) = 1. Here, f(n), with f(1) = 0, is a given sequence. We define F as the set of semi-infinite sequence f such that the resulting sequence q exists. This requires that the term q(n-q(n-1)) be defined for all n, that is, 0 < q(n) < n+1 applies for all n in N. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17764 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some subsets of set F in the diluted Hofstadter problem Deane, Jonathan H. B. Gentile, Guido Number Theory 11B37, 11B39 We continue work started in [1] concerning integer sequences q(n), n in N, defined by q(n) = q(n-q(n-1)) + f(n), with q(1) = 1. Here, f(n), with f(1) = 0, is a given sequence. We define F as the set of semi-infinite sequence f such that the resulting sequence q exists. This requires that the term q(n-q(n-1)) be defined for all n, that is, 0 < q(n) < n+1 applies for all n in N. |
| title | Some subsets of set F in the diluted Hofstadter problem |
| topic | Number Theory 11B37, 11B39 |
| url | https://arxiv.org/abs/2509.17764 |