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Re triangular numbers

  1. Dec 29, 2009 #1
    Find all a,b such that a*T(b) + b^2*T(a-1) = b*T(a) + a^2*T(b-1)

    example solution a = 3, b = 7
     
  2. jcsd
  3. Dec 29, 2009 #2

    CRGreathouse

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    I think this holds for any (a, b).
     
  4. Dec 30, 2009 #3
    Correct, both sides are always equal to T(a*b).
     
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