A circular disk is cut into n distinct scctuis. each shaped like a piece of pie and all meeting at the center point of the disk. Each sector is to be painted red. green, yellow, or blue in such a way that no two adjacent sectors arc panned tlx: vainc coJoi. Let .S. be tlie nunibei of ways to paint the disk.
a. Find a recurrence retains Cor Skia terms ofand for each integer 12 4.
b. Find an explicit lor inula for S. for n >2L
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