Testing sudo 1.7.4p4-5ubuntu5 I observed the following which seems correct to me as it matches the behavior on Maverick.
13:01:31 - flash:[/scratch] sudo sh -c 'echo $HOME' [sudo] password for bdmurray: /home/bdmurray 13:01:40 - flash:[/scratch] sudo -E sh -c 'echo $HOME' /home/bdmurray 13:03:14 - flash:[/scratch] sudo -H sh -c 'echo $HOME' /root 13:03:20 - flash:[/scratch] sudo -i root@flash:~# echo $HOME /root
Testing sudo 1.7.4p4-5ubuntu5 I observed the following which seems correct to me as it matches the behavior on Maverick.
13:01:31 - flash:[/scratch] sudo sh -c 'echo $HOME'
[sudo] password for bdmurray:
/home/bdmurray
13:01:40 - flash:[/scratch] sudo -E sh -c 'echo $HOME'
/home/bdmurray
13:03:14 - flash:[/scratch] sudo -H sh -c 'echo $HOME'
/root
13:03:20 - flash:[/scratch] sudo -i
root@flash:~# echo $HOME
/root