8、 $\left\{a_{n}\right\}$ is the number of subsets of the set $\{1,2, \ldots, n\}$ with the following property: each subset contains at least two elements, and the absolute difference between any two elements in each subset is greater than 1, then $\boldsymbol{a}_{10}=$
8.133

Analysis: Let the number of subsets of $\{1,2, \ldots, n\}$ that satisfy the condition be $a_{n}$, and consider the subsets of $\{1,2, \ldots, n, n+1, n+2\}$ that satisfy the condition.
(1) If the subsets that satisfy the condition do not contain the element $n+2$, there are $a_{n+1}$ such subsets.
(2) If the subsets that satisfy the condition all contain the element $n+2$, then by the condition: the absolute difference between any two elements in each set is greater than 1, it follows that $n+1$ must not be in these subsets. It is easy to see that there are $a_{n}+n$ such subsets.

Therefore, the number of subsets $a_{n+2}=a_{n+1}+a_{n}+n$

It is known that $a_{1}=a_{2}=0, a_{3}=1, a_{4}=3$, and by the recurrence formula, we can find that $a_{10}=133$.