Suppose we are to count bit sequences of length $n$ s.t the sequence doesn't contain 3 consecutive 1's
If $P(n)$ is the number of such sequences, is the equality $P(n) = P(n-1) + P(n-2) + P(n-3)$ valid?
If not how do you formulate it recursively?
2026-03-29 20:26:14.1774815974
Counting bit sequences
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