Define a recurrence relation and all necessary initial conditions for the following problem: A string of n Christmas lights are to be created using green, red and clear bulbs. In how many ways can this be done so that no two clear bulbs are next to each other?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Define a recurrence relation and all necessary initial
conditions for the following problem:
A string of n Christmas lights are to be created using
green, red and clear bulbs. In how many ways can this
be done so that no two clear bulbs are next to each
other?
Transcribed Image Text:Define a recurrence relation and all necessary initial conditions for the following problem: A string of n Christmas lights are to be created using green, red and clear bulbs. In how many ways can this be done so that no two clear bulbs are next to each other?
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