题目163：直线交叉形成的三角形
Cross-hatched trianglesConsider an equilateral triangle in which straight lines are drawn from each vertex to the middle of the opposite side, such as in the size 1 triangle in the sketch below.
Sixteen triangles of either different shape or size or orientation or location can now be observed in that triangle. Using size 1 triangles as building blocks, larger triangles can be formed, such as the size 2 triangle in the above sketch. One-hundred and four triangles of either different shape or size or orientation or location can now be observed in that size 2 triangle.
It can be observed that the size 2 triangle contains 4 size 1 triangle building blocks. A size 3 triangle would contain 9 size 1 triangle building blocks and a size n triangle would thus contain n2 size 1 triangle building blocks.
If we denote T(n) as the number of triangles present in a triangle of size n, then
T(1) = 16
T(2) = 104
Find T(36).
题目：
考虑一个等边三角形，从每个顶点到对边的中点画一条直线，如下图所示的是一个大小为 1 的草图：
从大小为 1 的这个大三角形中，我们可以根据形状、大小、位置的不同发现 16 个不同的三角形。
用大小为 1 的三角形作为模块，可以组成更大的三角形，比如上面的大小为 2 的那个。在这个三角形中，我们可以找到 104 个不同的三角形。
很明显，这个大小为 2 的三角形是由四个大小为 1 的三角形拼接而成，以此类推，大小为 3 时，则需要 9 个，一个大小为 n 的三角形，需要 n2 个大小为 1 的三角形构成。
如果我们定义 T(n) 为大小为 n 的三角形中不同的三角形个数，则：
T(1) = 16
T(2) = 104
请给出 T(36) 的值。
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