Problem B. 3933. (October 2006)
B. 3933. A sequence a_{n} is defined as a_{1}=1, a_{2n}=a_{n}, a_{2n+1}+a_{n}=1. Determine the value of a_{2006}.
(3 pont)
Deadline expired on 15 November 2006.
Sorry, the solution is available only in Hungarian. Google translation
Megoldás. a_{2006}=a_{1003}=1a_{501}=a_{250}=a_{125}=1a_{62}=1a_{31}=a_{15}=1a_{7}=a_{3}=1a_{1}=0.
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