I'm trying to get an expression for the nth term in this series:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]c_1 = 1[/tex]

[tex]c_n = \sum_{k=1}^{n-1} \frac{c_n}{(n-k)!}[/tex]

For example:

[tex]c_2 = 1/1! = 1[/tex]

[tex]c_3 = 1/2! +1/1! = 3/2[/tex]

[tex]c_4 = 1/3! + 1/2! + 3/(2\cdot 1!) = 13/6[/tex]

etc.

Since the factor in front of each term is different in each series, you can't express [itex]c_n[/itex] just in terms of [itex]c_{n-1}[/itex]. I have no idea how to start.

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# Series formula

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