Triangular Number Equation: a*T(b) + b^2*T(a-1) = b*T(a) + a^2*T(b-1)

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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
 
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