On simultaneous binary expansions of $n$ and $n^2$
| dc.creator | Melfi, Giuseppe | |
| dc.date | 2004-02-27 | |
| dc.date | 2004-03-02 | |
| dc.date.accessioned | 2026-07-07T05:05:47Z | |
| dc.date.available | 2026-07-07T05:05:47Z | |
| dc.description | A new family of sequences is proposed. An example of sequence of this family is more accurately studied. This sequence is composed by the integers $n$ for which the sum of binary digits is equal to the sum of binary digits of $n^2$. Some structure and asymptotic properties are proved and a conjecture about its counting function is discussed. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402458 | |
| dc.identifier | http://arxiv.org/abs/math/0402458 | |
| dc.identifier | Journal of Number Theory, 111 (2005), 248 -- 256 | |
| dc.identifier | doi:10.1016/j.jnt.2004.12.009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70302 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11A25 | |
| dc.title | On simultaneous binary expansions of $n$ and $n^2$ | |
| dc.type | text |