Ideally, we would have official packages for all distros, listed at https://github.com/syncthing/syncthing/wiki/Community-Contributions and all interested would converge to make these as great as possible.
Here is a review request: https://bugzilla.redhat.com/show_bug.cgi?id=1164378
Feedback & testing much appreciated.
Related links below
For Fedora, there is https://github.com/thunderbirdtr/syncthing_rpm/commits/master But “Last update: Sep 20, 2014”
CentOS 6: centos6 x86_64 rpm "I hope someone smarter than me, and with more time on their hands, can create a nice build environment and can do a better job."