SOLUTION: How many solutions of the equation x+y+z=2013;where x,y,z are sides of a triangle and x,y,z are positive integers?

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Question 934112: How many solutions of the equation x+y+z=2013;where x,y,z are sides of a triangle and x,y,z are positive integers?
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
This is Alcuin's sequence.

The formula for the nth term is:



Where the Int( ) function is the greatest
integer function.

2013 is odd, so

Int%28%282013%2B3%29%5E2%2F48%2B1%2F2%29=84672

Edwin