On Partial Sum of Tribonacci Numbers
We study the sum st(k,r)=∑i=0tTki+r of k step apart Tribonacci numbers for any 1≤r≤k. We prove that st(k,r) satisfies certain Tribonacci rule st(k,r)=akst-1(k,r)+bkst-2(k,r)+st-3(k,r)+λ with integers ak,bk,ck, and λ.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/301814 |
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| _version_ | 1849685622191554560 |
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| author | Eunmi Choi Jiin Jo |
| author_facet | Eunmi Choi Jiin Jo |
| author_sort | Eunmi Choi |
| collection | DOAJ |
| description | We study the sum st(k,r)=∑i=0tTki+r of k step apart Tribonacci numbers for any 1≤r≤k. We prove that st(k,r) satisfies certain Tribonacci rule st(k,r)=akst-1(k,r)+bkst-2(k,r)+st-3(k,r)+λ with integers ak,bk,ck, and λ. |
| format | Article |
| id | doaj-art-c431f216dfae40bfbe1b6c3ff4ae9b08 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c431f216dfae40bfbe1b6c3ff4ae9b082025-08-20T03:23:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/301814301814On Partial Sum of Tribonacci NumbersEunmi Choi0Jiin Jo1Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaWe study the sum st(k,r)=∑i=0tTki+r of k step apart Tribonacci numbers for any 1≤r≤k. We prove that st(k,r) satisfies certain Tribonacci rule st(k,r)=akst-1(k,r)+bkst-2(k,r)+st-3(k,r)+λ with integers ak,bk,ck, and λ.http://dx.doi.org/10.1155/2015/301814 |
| spellingShingle | Eunmi Choi Jiin Jo On Partial Sum of Tribonacci Numbers International Journal of Mathematics and Mathematical Sciences |
| title | On Partial Sum of Tribonacci Numbers |
| title_full | On Partial Sum of Tribonacci Numbers |
| title_fullStr | On Partial Sum of Tribonacci Numbers |
| title_full_unstemmed | On Partial Sum of Tribonacci Numbers |
| title_short | On Partial Sum of Tribonacci Numbers |
| title_sort | on partial sum of tribonacci numbers |
| url | http://dx.doi.org/10.1155/2015/301814 |
| work_keys_str_mv | AT eunmichoi onpartialsumoftribonaccinumbers AT jiinjo onpartialsumoftribonaccinumbers |