Knowledge base for coefficients of k-power on generating functions in two variables

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Authors: Kruchinin D. V.

Annotation: The questions of building a knowledge base of the coefficients of the powers of generating functions in two variables are considered, their explicit expressions are described by the algebra of binomial coefficients. A method to obtain such expressions is proposed. Both the structure of knowledge base elements and the structure for the software system are presented, illustrated with examples.

Keywords: generating function, coefficient, numerical pyramid, knowledge base, method for obtaining pyramids, software system