Publication: A pascal-like triangle related to the tribonacci numbers
| dc.contributor.author | Kenneth Edwards | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2018-07-12T02:34:41Z | |
| dc.date.available | 2018-07-12T02:34:41Z | |
| dc.date.issued | 2008-02-01 | en_US |
| dc.description.abstract | A tile composed of two pieces, which we refer to as a fence tile, is introduced to give the Tribonacci numbers a new combinatorial interpretation. The interpretation is used to construct a Pascal-like triangle and various identities concerning the triangle are proven. An intuitive proof of a general identity for the Tribonacci numbers in terms of sums of products of the binomial coefficients is given. A connection with sequence A120415 from Sloane's Encyclopedia of Integer Sequences is also made. | en_US |
| dc.identifier.citation | Fibonacci Quarterly. Vol.46-47, No.1 (2008), 18-25 | en_US |
| dc.identifier.issn | 00150517 | en_US |
| dc.identifier.other | 2-s2.0-62649133352 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/123456789/19419 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=62649133352&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | A pascal-like triangle related to the tribonacci numbers | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=62649133352&origin=inward | en_US |