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Let R(n) be the number of length n strings over the alphabet {A,C,G, U} that avoid the contiguous substrings AA, AU, UA and UU.
Let R(n) be the number of length n strings over the alphabet {A,C,G, U} that avoid the contiguous substrings AA, AU, UA and UU. (a) Find a recurrence relation for R(n) and explain why it works (Don't forget the base case(s)!) (b) Find the growth rate of R(n) in notation.
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a To find a recurrence relation for Rn lets consider the last character of the string of length n It ...
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Discrete and Combinatorial Mathematics An Applied Introduction
Authors: Ralph P. Grimaldi
5th edition
201726343, 978-0201726343
