Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Recurrence Relations
Combinatorics
Bit Strings
Formulas
a_k = a_(k-1) + a_(k-3) + a_(k-4) + ... + a_0 + 2
a_k = 2a_(k-1) - a_(k-2) + a_(k-3)
Theorems
Recurrence relation for bit strings avoiding the pattern 101
Suitable Grade Level
Undergraduate Mathematics