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  1. R

    Count the solutions in nonnegative integers

    In this article in http://www.voofie.com/concept/Mathematics/" [Broken]: http://www.voofie.com/content/133/repeated-sum-and-partial-difference-equation/" [Broken] I first gave a standard method in solving the problem (probably the same approach as your theorem). Then I solve it using a...
  2. R

    A Challenge Problem in Techniques Of Problem Solving

    You are right. You may want to do some factorization also. S = \frac{ n(n+1)(2n+1)}{6}
  3. R

    A Challenge Problem in Techniques Of Problem Solving

    Use (k+1)^3 - k^3 = 3k^2+3k+1 and do summation on both side. By telescoping method, only 2 terms left in the left hand side. You need to do a little manipulation on the right hand side though.
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