Project Euler Problem 600
Let H(n) be the number of distinct integer sided equiangular convex hexagons with perimeter not exceeding n.
Solution
Answer: 2668608479740672
After revisiting the combinatorial geometry and checking against the known values $H(6)=1$, $H(12)=10$, and $H(100)=31248$, the exact value for $H(55106)$ is:
Answer: 2668608479740672