| dc.contributor.author | Alkan, Altuğ | |
| dc.contributor.author | Booker, A.R. | |
| dc.contributor.author | Luca, F. | |
| dc.date.accessioned | 2021-06-05T19:56:57Z | |
| dc.date.available | 2021-06-05T19:56:57Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 1530-7638 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12960/408 | |
| dc.description | 2-s2.0-85102121168 | en_US |
| dc.description.abstract | We prove some properties of sequence A335294 from the On-Line Encyclopedia of Integer Sequences, defined by an = ?(n) - ?(?n-1 k=1ak), where ?(x) is the number of primes ? x. In particular we show that the sequence (an) assumes every non-negative integral value infinitely often. © 2021, University of Waterloo. All rights reserved. | en_US |
| dc.description.sponsorship | A335337 | en_US |
| dc.description.sponsorship | Altug Alkan would like to thank Robert Israel, Remy Sigrist and Giovanni Resta for their valuable computational assistance regarding OEIS contributions A335294 and A335337. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | University of Waterloo | en_US |
| dc.relation.ispartof | Journal of Integer Sequences | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Prime-Counting Function | en_US |
| dc.title | On a recursively defined sequence involving the prime counting function | en_US |
| dc.type | article | en_US |
| dc.department | Lisansüstü Eğitim Enstitüsü, Hesaplamalı Bilim ve Mühendislik Ana Bilim Dalı | en_US |
| dc.department-temp | Alkan, A., Graduate School of Science and Engineering, Piri Reis University, Istanbul, Turkey; Booker, A.R., School of Mathematics, University of Bristol, Woodland Road, Bristol, BS8 1UG, United Kingdom; Luca, F., School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits 2050, Johannesburg, South Africa, Research Group in Algebraic Structures and Applications, King Abdulaziz University, Jeddah, South Africa, centro de ciencias Matemáticas, UNAM, Morelia, Mexico | en_US |
| dc.contributor.institutionauthor | Alkan, Altuğ | |
| dc.identifier.volume | 24 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.endpage | 18 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
