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Journal of Siberian Federal University. Mathematics & Physics, 2010, Volume 3, Issue 4, Pages 533–543 (Mi jsfu152)  

This article is cited in 1 scientific paper (total in 1 paper)

The upper units of generalized Pascal's pyramid and its interpretations

Oleg V. Kuzmina, Marina V. Seryoginab

a Irkutsk State University, Irkutsk, Russia
b Zabaikalsky Institute of Railway Transport, Chita, Russia
Full-text PDF (189 kB) Citations (1)
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Abstract: The sums of upper units' elements of generalized Pascal's pyramid are considering. The values of sums and recurrence relations for these sums together with enumerative interpretations of combinatorial objects under study were found.
Keywords: generalized Pascal's pyramid, plane section of pyramid, upper unit of pyramid, sum of pyramid elements, recurrence relations, evolution of population, tile of rectangle.
Received: 18.08.2010
Received in revised form: 15.09.2010
Accepted: 25.09.2010
Document Type: Article
UDC: 512.54
Language: Russian
Citation: Oleg V. Kuzmin, Marina V. Seryogina, “The upper units of generalized Pascal's pyramid and its interpretations”, J. Sib. Fed. Univ. Math. Phys., 3:4 (2010), 533–543
Citation in format AMSBIB
\Bibitem{KuzSer10}
\by Oleg~V.~Kuzmin, Marina~V.~Seryogina
\paper The upper units of generalized Pascal's pyramid and its interpretations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2010
\vol 3
\issue 4
\pages 533--543
\mathnet{http://mi.mathnet.ru/jsfu152}
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  • https://www.mathnet.ru/eng/jsfu/v3/i4/p533
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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