1. (12 points) Find the pattern and fill in the blanks.
$$
\begin{array}{l}
3,7,15,31,63, \ldots, \\
1,9,3,10,5, \ldots, 12,9 .
\end{array}
$$
, 12, 9 .
【Solution】Solution: (1) $63 \times 2+1$
$$
\begin{array}{l}
=126+1 \\
=127 \\
127 \times 2+1 \\
=254+1 \\
=255
\end{array}
$$
(2) $5+2=7$
$$
10+1=11
$$

Therefore, the answers are: 127, $255 ; 7,11$.