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Sums of reciprocal triangular numbers |
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| รหัสดีโอไอ | |
| Creator | Lalita Nilasinwong |
| Title | Sums of reciprocal triangular numbers |
| Contributor | Kantaphon Kuhapatanakul |
| Publisher | Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi |
| Publication Year | 2563 |
| Journal Title | Progress in Applied Science and Technology |
| Journal Vol. | 10 |
| Journal No. | 2 |
| Page no. | 14-17 |
| Keyword | triangular number, reciprocal sums |
| URL Website | https://ph02.tci-thaijo.org/index.php/stj-rmutt/index |
| Website title | Progress in Applied Science and Technology |
| ISSN | 2730-3020 |
| Abstract | We consider the infinite sums of the reciprocals of the triangular numbers Tn and Tn2 . Then, by applying the floor function to the reciprocals of these sums, we obtain the new identities involving the triangular numbers. Further, we give a formula for an alternating sum of the reciprocals of triangular numbers. |
