Como fazer o Tomcat iniciar automaticamente no Linux Mint

$ sudo touch /etc/init.d/tomcat7
$ sudo vim /etc/init.d/tomcat7:

#!/bin/bash
### BEGIN INIT INFO
# Provides:        tomcat7
# Required-Start:  $network
# Required-Stop:   $network
# Default-Start:   2 3 4 5
# Default-Stop:    0 1 6
# Short-Description: Start/Stop Tomcat server
### END INIT INFO
PATH=/sbin:/bin:/usr/sbin:/usr/bin
start() {
 sh //bin/startup.sh
}
stop() {
 sh //bin/shutdown.sh
}
case $1 in
  start|stop) $1;;
  restart) stop; start;;
  *) echo "Run as $0 "; exit 1;;
esac

$ sudo update-rc.d tomcat7 defaults