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Journal of Siberian Federal University. Mathematics & Physics, 2010, Volume 3, Issue 4, Pages 533–543
(Mi jsfu152)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/jsfu152 https://www.mathnet.ru/eng/jsfu/v3/i4/p533
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