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Math Help - Question regarding Stirling Numbers!!!!!!!

  1. #1
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    Exclamation Question regarding Stirling Numbers!!!!!!!

    Hi I'm having some problems with the following question!!

    Show S2n,2 = 2n + (2n 2) + (2n 3) + ..... + (2n n-1) + 1/2(2n n)

    [Note that (2n 2), (2n 3) etc are the notation for the binomial coefficients]

    I'm having trouble understanding how to expand a stirling number. I know the general forumla but if anyone knows how to make it look like the one above that would be great!

    Thanks
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  2. #2
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    Quote Originally Posted by luke.reader View Post
    Hi I'm having some problems with the following question!!

    Show S2n,2 = 2n + (2n 2) + (2n 3) + ..... + (2n n-1) + 1/2(2n n)

    [Note that (2n 2), (2n 3) etc are the notation for the binomial coefficients]

    I'm having trouble understanding how to expand a stirling number. I know the general forumla but if anyone knows how to make it look like the one above that would be great!

    Thanks
    You might find this site helpful.

    -Dan
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  3. #3
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    Exclamation

    Thanks for replying so quickly Dan... I've looked on there and my efforts do not seem to generate what I need. Any chance somebody could show me a worked example for something similar??
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