Your rule is correct, just add L
flag to end the rule and make sure .htaccess and mod_rewrite are enabled through Apache config.
Options +FollowSymLinks -MultiViews
# Turn mod_rewrite on
RewriteEngine On
RewriteRule ^([^/]+)/([^/]+)/([^\.]+)\.html$ /series.php?sid=$1&part=$2&name=$3 [L,NC,QSA]