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Nth term

  1. Dec 24, 2011 #1
    If I know generating function of a series, what formula gives nth term?
    Specifically, my generating function is f(x)=(Ʃ(k=1, to m-1) x^k)/(1-x^m)
    ***The function represent series: 0,1,1,...,1,0,1,1,...,1,0,...
    where m is period; i.e. 0,1,1,0,1,1,0 m=3***
  2. jcsd
  3. Dec 26, 2011 #2
    generating function is f(x)=(sum_(k=1,to m-1) x^k)/(1-x^m), where m is period;
    0,1,1,0,1,1... m=3
    0,1,1,1,0,1,1,1,0... m=4...

    What is nth term of the series given by the generating function?
    Formula must be general, so I can just put m.
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