Pandigital Triangles
Problem 660
We call an integer sided triangle -pandigital if it contains one angle of 120 degrees and, when the sides of the triangle are written in base , together they use all digits of that base exactly once.
For example, the triangle (217, 248, 403) is 9-pandigital because it contains one angle of 120 degrees and the sides written in base 9 are using each of the 9 digits of that base once.
Find the sum of the largest sides of all n-pandigital triangles with .