Oleg V. Kuzmin, Marina V. Seryogina, “The upper units of generalized Pascal's pyramid and its interpretations”, J. Sib. Fed. Univ. Math. Phys., 2010, Volume 3, Issue 4,Pages <nobr>533

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

Oleg V. Kuzmin^a, Marina V. Seryogina^b

^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.

UDC: 512.54

Received: 18.08.2010
Received in revised form: 15.09.2010
Accepted: 25.09.2010