If you have an anacron job that runs a daily backup, and your system is down for three days, anacron will run the job once when the system comes online on the fourth day.
To elaborate, anacron allows you to specify commands to be repeated periodically with a frequency specified in days. When anacron is invoked (which can happen at boot time, and also during predefined hours of the day), it will read a list of jobs from the /etc/anacrontab configuration file. For each job, anacron checks if the job has been executed in last n days. For a daily job, this will be the last 1 day, i.e. today. If the job has not been run in this period, anacron executes the job.
Once the job runs to completion, anacron records the date of execution in a file, under /var/spool/anacron. This file is used to check the job's status when anacron is invoked the next day.
Since anacron only looks at the days elapsed since last execution and the configured frequency of execution, there is no problem of a job being executed multiple times.
A daily anacron job can be set up in the /etc/anacrontab configuration file using the following syntax:
1 15 backup-job /path/to/backup/script.sh
1 is the frequency of executing the command specified in days, 15 is a delay in minutes added to the execution of the job, 'backup-job' is an identifier, and '/path/to/backup/script.sh' is the command to be executed. You can take a look at man 8 anacron and man 5 anacrontab for more details.