Forming PYRAMID with smaller pyramid and octahedron

[josdavi]

Please teach me :

Is it possible to form larger Pyramid (triangle-based) with smaller Pyramid and Octahedron ?

 

For example-

2-level Pyramid:

Octahedron part * 1

Pyramid part (triangle-based) * 4

 

3-level Pyramid:

Octahedron part * 4

Pyramid part (triangle-based) * 11

 

If It is possible, how to calculate the numbers of smaller parts of Pyramid and Octahedron

forming a n-level Pyramid with the same method ?

Thank you.