Question
Find the family of subsets of each set that do not contain consecutive integers. $[1,2]$
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The subsets are: {}, {1}, {2}, {1,2}. Show more…
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Let $a_{n}$ denote the number of subsets of the set $S=\{1,2, \ldots, n\}$ that do not contain consecutive integers, where $n \geq 1 .$ Find $a_{3}$ and $a_{4}$ .
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