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Problem 600

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Integer sided equiangular hexagons

Let $H$($n$) be the number of distinct integer sided equiangular convex hexagons with perimeter not exceeding $n$.
Hexagons are distinct if and only if they are not congruent.

You are given $H$(6)=1, $H$(12)=10, $H$(100)=31248.
Find $H$(55106).

Equiangular hexagons with perimeter not exceeding 12

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整数边长等角六边形

令$H$($n$)表示周长不超过$n$的不同整数边长等角凸六边形的数量。
当且仅当两个六边形不全等时视为不同的六边形。

已知$H$(6)=1，$H$(12)=10，$H$(100)=31248。
求$H$(55106)。

边长不超过12的等角六边形

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