
COMMENTS

An Euler brick is a cuboid of integer side dimensions a, b, c such that the face diagonals are integers.
Because the sides of a cuboid are permutable without changing its shape, the total number of Euler bricks in the parameter space is b(n) = 6*a(n) = 0, 0, 60, 906, 10284, ...


EXAMPLE

a(3) = 10, since there are the ten Euler bricks [44, 117, 240], [85, 132, 720], [88, 234, 480], [132, 351, 720], [140, 480, 693], [160, 231, 792], [176, 468, 960], [240, 252, 275], [480, 504, 550], [720, 756, 825] with longest side length < 1000.
