Geodesic
Generalised Pascal pyramids and their reciprocals
Diskretnaya Matematika, Tome 19 (2007) no. 4, pp. 108-116.

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We construct pairs of reciprocal relations which contain as the coefficients three-index combinatorial numbers. We introduce three-index generalisations of a series of known combinatorial numbers. 
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A. A. Balagura; O. V. Kuz'min. Generalised Pascal pyramids and their reciprocals. Diskretnaya Matematika, Tome 19 (2007) no. 4, pp. 108-116. http://geodesic.mathdoc.fr/item/DM_2007_19_4_a6/

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

[2] Platonov M. L., Kombinatornye chisla klassa otobrazhenii i ikh prilozheniya, Nauka, Moskva, 1979 | MR