Neo balcobalancing numbers
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916690665668608 |
|---|---|
| author | Tekcan, Ahmet |
| author_facet | Tekcan, Ahmet |
| contents | In this work, we defined neo balcobalancing numbers, neo Lucas-balcobalancing numbers, neo balcobalancers and neo Lucas-balcobalancers and derived the general terms of these numbers in terms of balancing numbers. Conversely we deduced the general terms of balancing, cobalancing, Lucas-balancing and Lucas-cobalancing numbers in terms of these numbers. We also deduced some relations on Binet formulas, recurrence relations, relationship with Pell, Pell-Lucas, triangular, square triangular numbers, Pythagorean triples and Cassini identities. We also formulate the sum of first $n$-terms of these numbers and obtained some formulas for the sums of Pell, Pell-Lucas, balancing and Lucas-cobalancing numbers in terms of these numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10152 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Neo balcobalancing numbers Tekcan, Ahmet Combinatorics 11B37, 11B39, 11D09, 11D79 In this work, we defined neo balcobalancing numbers, neo Lucas-balcobalancing numbers, neo balcobalancers and neo Lucas-balcobalancers and derived the general terms of these numbers in terms of balancing numbers. Conversely we deduced the general terms of balancing, cobalancing, Lucas-balancing and Lucas-cobalancing numbers in terms of these numbers. We also deduced some relations on Binet formulas, recurrence relations, relationship with Pell, Pell-Lucas, triangular, square triangular numbers, Pythagorean triples and Cassini identities. We also formulate the sum of first $n$-terms of these numbers and obtained some formulas for the sums of Pell, Pell-Lucas, balancing and Lucas-cobalancing numbers in terms of these numbers. |
| title | Neo balcobalancing numbers |
| topic | Combinatorics 11B37, 11B39, 11D09, 11D79 |
| url | https://arxiv.org/abs/2504.10152 |