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Math Help - Formula

  1. #1
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    Formula

    Determine the # of ways to get from (0,0) to (2,2) ..

    I found it is 6 because of

    (2,0) = 1
    (2,1) = 3
    (2,2) = 6
    (2,3) = 10
    (2,4) = 15
    (2,5) = 21
    (2,6) = 28

    etc..

    so who can give me a formula to explain this relationship for a general thing?
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  2. #2
    Senior Member vincisonfire's Avatar
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    It seems to be *\sum_{n=1}^{n}i=\frac{n(n+1)}{2} But the thing is like delayed by 1. So \sum_{n=1}^{n}i+1=\frac{(n+1)(n+2)}{2}
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