Algorithm that combines similar colour sequences?

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I have a sequence of images - frames if you will. Which must be encoded by allocating each pixel a sequence of colours.

For example:

  
>>
  

Becomes

(>>)  (>>)  (>>)

(>>)  (>>)  (>>)

(>>)  (>>)  (>>)

But there are only so many colour sequences that can be stored. What is an algorithm I could employ to 'merge' pixels of similar sequences until the total number of sequences falls below a given threshold?

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