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$a_{-i}=0$ for all positive i. We have the recurrence

$$ a_n = \sum_{i=1}^\infty b_ia_{n-m_i} $$

Where $m_i>0$ for all $i$.

  • 0
    aren't those the catalan numbers? what's $b_i$?2011-12-02
  • 0
    $b_i$ and $m_i$ are two infinite sequences. As far as I know, partition numbers can be expressed in this way.2011-12-02

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