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7. After being inspired by Matt Parker of Stand Up Maths with viewer-submitted untested python light shows https://tinyurl.com/484rw3kc, you wish to program an LED strip

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7. After being inspired by Matt Parker of Stand Up Maths with viewer-submitted untested python light shows https://tinyurl.com/484rw3kc, you wish to program an LED strip containing n LEDs (see sample image below). Each individual LED can be lit in red, green, blue, or white. How many length- n colour sequences have no three sequential red LEDs? Hint: Find a recurrence relation

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