An ?-pyramid is created with ? blocks at the base, ? − 1 blocks
on the next level, until the peak which has 1 block.
Pyramids are colored according to the following rules: (1) Each
block can be red, gold, or black, and (2) All 3-block units
composed of one block on top of two others must either all be the
same color or all be different colors. Answer the following:
a) How many ways are there to color a...