Generating functions and generalized alternating subsets |
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Authors: | Stephen M. Tanny |
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Affiliation: | Department of Mathematics, University of Toronto, Toronto, Ont., Canada |
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Abstract: | The notion of an alternating subset of integers is generalized to the notion of an (α, β)-alternating subset of integers, where α and β are arbitrary positive integers. The problem of enumerating the (α, 1)-alternating k-subsets of {1 2, …, n} is solved by means of a generating function approach related to the multisections of series. |
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