Generalised Pascal pyramids and their reciprocals. (English. Russian original) Zbl 1247.05009
Discrete Math. Appl. 17, No. 6, 619-628 (2007); translation from Diskretn. Mat. 19, No. 4, 108-116 (2007).
Summary: We construct pairs of reciprocal relations which contain three-index combinatorial numbers as coefficients and introduce three-index generalisations of a series of known combinatorial numbers.
MSC:
| 05A10 | Factorials, binomial coefficients, combinatorial functions |
Keywords:
three-index combinatorial numbersReferences:
| [1] | O. V. Kuzmin, Generalised Pascal Pyramids and their Applications. Nauka, Novosibirsk, 2000 (in Russian). |
| [2] | M. L. Platonov, Combinatorial Numbers of Classes of Mappings and their Applications. Nauka, Moscow, 1979 (in Russian). · Zbl 0597.05004 |
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