On the Recurrence Properties of Narayana’s Cows Sequence
In this paper, we consider the recurrence properties of two generalized forms of Narayana’s cows sequence. On the one hand, we study Narayana’s cows sequence at negative indices and express it as the linear combination of the sequence at positive indices. On the other hand, we study the convolved Na...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/1/149 |
| _version_ | 1797410426835697664 |
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| author | Xin Lin |
| author_facet | Xin Lin |
| author_sort | Xin Lin |
| collection | DOAJ |
| description | In this paper, we consider the recurrence properties of two generalized forms of Narayana’s cows sequence. On the one hand, we study Narayana’s cows sequence at negative indices and express it as the linear combination of the sequence at positive indices. On the other hand, we study the convolved Narayana number and obtain a computation formula for it. |
| first_indexed | 2024-03-09T04:29:50Z |
| format | Article |
| id | doaj.art-76614ca62b7d4bafa622e5b42f91cb5f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T04:29:50Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-76614ca62b7d4bafa622e5b42f91cb5f2023-12-03T13:37:20ZengMDPI AGSymmetry2073-89942021-01-0113114910.3390/sym13010149On the Recurrence Properties of Narayana’s Cows SequenceXin Lin0School of Mathematics, Northwest University, Xi’an 710127, Shaanxi, ChinaIn this paper, we consider the recurrence properties of two generalized forms of Narayana’s cows sequence. On the one hand, we study Narayana’s cows sequence at negative indices and express it as the linear combination of the sequence at positive indices. On the other hand, we study the convolved Narayana number and obtain a computation formula for it.https://www.mdpi.com/2073-8994/13/1/149Narayana’s cows sequencenegative indiceslinear recurrence sequenceconvolution formula |
| spellingShingle | Xin Lin On the Recurrence Properties of Narayana’s Cows Sequence Symmetry Narayana’s cows sequence negative indices linear recurrence sequence convolution formula |
| title | On the Recurrence Properties of Narayana’s Cows Sequence |
| title_full | On the Recurrence Properties of Narayana’s Cows Sequence |
| title_fullStr | On the Recurrence Properties of Narayana’s Cows Sequence |
| title_full_unstemmed | On the Recurrence Properties of Narayana’s Cows Sequence |
| title_short | On the Recurrence Properties of Narayana’s Cows Sequence |
| title_sort | on the recurrence properties of narayana s cows sequence |
| topic | Narayana’s cows sequence negative indices linear recurrence sequence convolution formula |
| url | https://www.mdpi.com/2073-8994/13/1/149 |
| work_keys_str_mv | AT xinlin ontherecurrencepropertiesofnarayanascowssequence |