AN APPROACH TO PILLAI'S PROBLEM: COINCIDENCES BETWEEN THE NARAYANA'S COWS AND TRIBONACCI SEQUENCES.
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| Title: | AN APPROACH TO PILLAI'S PROBLEM: COINCIDENCES BETWEEN THE NARAYANA'S COWS AND TRIBONACCI SEQUENCES. |
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| Authors: | Diouf, Sémou1 zemathos@hotmail.fr, Fall, Oumar1 oumar3.fall@ucad.edu.sn, Deme, Chérif Bachir2 cherifbachir.deme@uadb.edu.sn |
| Source: | Advances & Applications in Discrete Mathematics. Feb2026, Vol. 43 Issue 2, p183-196. 14p. |
| Subjects: | Recursive sequences (Mathematics), Mathematical sequences, Diophantine equations, Fibonacci sequence |
| Abstract: | The Narayana's cows sequence (Nm)m≥0 and the Tribonacci sequence (Tn)n≥0are respectively the sequences A000930 and A00073 in the OIES system satisfying respectively the recurrence relations: Nm+3 = Nm+2 + Nm for integers m ≥ 0 (1) with initial terms N0 = N1 = N2 = 1 and Tn+3 = Tn+2 + Tn+1 + Tn for integers n ≥ 0 (2) with initial terms T0 = T1 = 0 and T2 = 1. In this paper, our aim is to solve the equation Nm = Tn, where m and n are positive integers [ABSTRACT FROM AUTHOR] |
| Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: AN APPROACH TO PILLAI'S PROBLEM: COINCIDENCES BETWEEN THE NARAYANA'S COWS AND TRIBONACCI SEQUENCES. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Diouf%2C+Sémou%22">Diouf, Sémou</searchLink><relatesTo>1</relatesTo><i> zemathos@hotmail.fr</i><br /><searchLink fieldCode="AR" term="%22Fall%2C+Oumar%22">Fall, Oumar</searchLink><relatesTo>1</relatesTo><i> oumar3.fall@ucad.edu.sn</i><br /><searchLink fieldCode="AR" term="%22Deme%2C+Chérif+Bachir%22">Deme, Chérif Bachir</searchLink><relatesTo>2</relatesTo><i> cherifbachir.deme@uadb.edu.sn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Advances+%26+Applications+in+Discrete+Mathematics%22">Advances & Applications in Discrete Mathematics</searchLink>. Feb2026, Vol. 43 Issue 2, p183-196. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Recursive+sequences+%28Mathematics%29%22">Recursive sequences (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+sequences%22">Mathematical sequences</searchLink><br /><searchLink fieldCode="DE" term="%22Diophantine+equations%22">Diophantine equations</searchLink><br /><searchLink fieldCode="DE" term="%22Fibonacci+sequence%22">Fibonacci sequence</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The Narayana's cows sequence (Nm)m≥0 and the Tribonacci sequence (Tn)n≥0are respectively the sequences A000930 and A00073 in the OIES system satisfying respectively the recurrence relations: Nm+3 = Nm+2 + Nm for integers m ≥ 0 (1) with initial terms N0 = N1 = N2 = 1 and Tn+3 = Tn+2 + Tn+1 + Tn for integers n ≥ 0 (2) with initial terms T0 = T1 = 0 and T2 = 1. In this paper, our aim is to solve the equation Nm = Tn, where m and n are positive integers [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.17654/0974165826013 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 183 Subjects: – SubjectFull: Recursive sequences (Mathematics) Type: general – SubjectFull: Mathematical sequences Type: general – SubjectFull: Diophantine equations Type: general – SubjectFull: Fibonacci sequence Type: general Titles: – TitleFull: AN APPROACH TO PILLAI'S PROBLEM: COINCIDENCES BETWEEN THE NARAYANA'S COWS AND TRIBONACCI SEQUENCES. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Diouf, Sémou – PersonEntity: Name: NameFull: Fall, Oumar – PersonEntity: Name: NameFull: Deme, Chérif Bachir IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 09741658 Numbering: – Type: volume Value: 43 – Type: issue Value: 2 Titles: – TitleFull: Advances & Applications in Discrete Mathematics Type: main |
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