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| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Pąk, Karol | - |
| dc.date.accessioned | 2026-11-04T10:47:00Z | - |
| dc.date.available | 2026-11-04T10:47:00Z | - |
| dc.date.issued | 2006 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 14, Issue 4, Pages 153-159 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/21423 | - |
| dc.description.abstract | In this paper, we define sequence dominated by 0, in which every initial fragment contains more zeroes than ones. If n ≥ 2 · m and n > 0, then the number of sequences dominated by 0 the length n including m of ones, is given by the formula and satisfies the recurrence relation Obviously, if n = 2 · m, then we obtain the recurrence relation for the Catalan numbers (starting from 0) Using the above recurrence relation we can see that whereand hence | pl |
| dc.description.sponsorship | This work has been partially supported by the KBN grant 4 T11C 039 24 and the FP6 IST grant TYPES No. 510996. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | CC BY-SA 4.0 | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | - |
| dc.title | The Catalan Numbers. Part II | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2008 Karol Pąk, published by University of Białystok | pl |
| dc.rights.holder | This work is licensed under the Creative Commons License. | pl |
| dc.identifier.doi | 10.2478/v10037-006-0019-7 | - |
| dc.description.Affiliation | Institute of Mathematics University of Białystok | pl |
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| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 14 | pl |
| dc.description.issue | 4 | pl |
| dc.description.firstpage | 153 | pl |
| dc.description.lastpage | 159 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2006, Volume 14, Issue 4 | |
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|---|---|---|---|---|
| The_Catalan_Numbers._Part_II.pdf | 128,54 kB | Adobe PDF | Otwórz |
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