Geodesic
Plane sections of the generalised Pascal pyramid and their interpretations
Diskretnaya Matematika, Tome 22 (2010) no. 3, pp. 83-93.

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We consider sums of elements of plane sections of the generalised Pascal pyramide. We evaluate the sums and find recurrence relations which these sums obey, and then suggest enumerative interpretations of the combinatorial objects under investigation. 
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O. V. Kuzmin; M. V. Seregina. Plane sections of the generalised Pascal pyramid and their interpretations. Diskretnaya Matematika, Tome 22 (2010) no. 3, pp. 83-93. http://geodesic.mathdoc.fr/item/DM_2010_22_3_a7/

[1] Kuzmin O. V, Obobschennye piramidy Paskalya i ikh prilozheniya, Nauka, Novosibirsk, 2000 | MR

[2] Čerin Z., “Sums of squares and products of Jacobsthal numbers”, J. Integer Sequences, 10:2 (2007), 07.2.5 | MR | Zbl

[3] Feinberg M., “Fibonacci–Tribonacci”, Fibonacci Q., 1 (1963), 71–74

[4] Shannon A. G., “Tribonacci numbers and Pascal's pyramid”, Fibonacci Q., 15 (1977), 268–275 | MR | Zbl