Extended Triangle-ception

Logic Level 4

The diagram shows the tiling of the first \(4^2 \) smallest congruent equilateral triangles.

The extension of this triangle has a total of \(n^2\) smallest congruent equilateral triangles.

Find the positive value of \(n\) if the total number of triangles (of all sizes) for this diagram is 988.

Inspiration.

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