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The sierpinsky triangle turns into this picture. The number of triangles changes as shown in 1-4-13-40-121. How many T(n) is the total number of triangles

The sierpinsky triangle turns into this picture. The number of triangles changes as shown in 1-4-13-40-121. How many T(n) is the total number of triangles after step n?

1) Find the ignition formula.

2) Based on the ignition expression from 1) what is the total number of triangles T(n) asymptotically? After estimation, use the method of proof, and find the upper and lower limits, but find them tight.

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