2010-11-26, 05:53 PM
Excel hoar. L>Proof, not brute force! 
EDIT: Figured it out with Wolfram and Hazzy's help.
Set the expression equal to b.
Used a ton of algebraic manipulation (moved terms around, squared both sides twice) to get rid of the sqrts, then solved for n.
Got n = (b^2)/4 + 720/b^2.
Plugged in integer values for b and saw which ones outputted integer n values.

