Question: a black and white computer array is divided up into an array of pixels. each of the pixels can take on one of eight gray

a black and white computer array is divided up into an array of pixels. each of the pixels can take on one of eight gray levels ranging from

0

7 .

in order to prevent sharp discontinuities in shade, the software systme that causes pictures to be displayed enforces the rule that gray levels of two adjacent pixels cannot differ by more than three. How many of the

64

possoble arrangements of gray levels to two adjacent pixels satisfy this rule?

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