Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    I think this holds for any (a, b).
  4. Dec 30, 2009 #3
    Correct, both sides are always equal to T(a*b).
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook