دالة مولدة
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title: Generating function
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author: George Pólya
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text: A generating function is a clothesline on which we hang up a sequence of numbers for display.
description: formal power series with coefficients that encode information about a sequence
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description: série formelle dont les coefficients codent une suite @fr
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math statement: Suppose that the generating function is represented by an infinite continued fraction of the form and that denotes the th convergent to this continued fraction expansion defined such that for all . Then: # the function is rational for all where we assume that one of divisibility criteria of is met, that is, for some ; and # if the integer divides the product , then we have .
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description: szereg formalny, w którym współczynniki przy poszczególnych potęgach odpowiadają elementom danego ciągu indeksowanego liczbami naturalnymi @pl
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description: Fonksiyon @tr
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description: Art von formaler Potenzreihe @de
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description: formala potencoserio kies koeficientoj reprezentas iun nombrovicon @eo
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