Geodesic
The upper units of generalized Pascal's pyramid and its interpretations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 533-543.

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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, tile of rectangle.
Mots-clés : evolution of population 
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Oleg V. Kuzmin; Marina V. Seryogina. The upper units of generalized Pascal's pyramid and its interpretations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 533-543. http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a10/

[1] I. N. Herstein, “Jordan derivations of prime rings”, Proc. Amer. Math. Soc., 8 (1957), 1104–1110 | MR

[2] J. Zhang, W. Yu, “Jordan derivations of triangular algebras”, Linear Algebra Appl., 419 (2006), 251–255 | DOI | MR | Zbl

[3] J. M. Cusack, “Jordan derivations on rings”, Proc. Amer. Math. Soc., 53:2 (1975), 321–324 | MR | Zbl

[4] N. Nader, M. Ghosseiri, “Jordan derivations of some classes of matrix rings”, Taiwanese J. of Math., 11:1 (2007), 51–62 | MR | Zbl