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Re triangular numbers

 
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Dec29-09, 06:40 PM   #1
 
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Re triangular numbers


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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Dec29-09, 10:26 PM   #2
 
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I think this holds for any (a, b).
 
Dec30-09, 01:05 PM   #3
 
Correct, both sides are always equal to T(a*b).
 
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