My current kernel is 3.2.0-26 (my main computer) while on another of my Ubuntu computers, with which I didn't fiddle with unofficial updates, it's 3.2.0-30. Yet the Update manager on my main computer doesn't show available kernel updates. It shows other updates though.
I suspect is due to the fact that in the past I installed multiple mainline kernel versions (not recommended versions), up to 3.5* series.
What I'm after: Either: Fix automatic kernel updates. Or: Learn about a way to check for the latest official ubuntu kernel version and get it manually (I know how to install kernels from debs)
What I have already tried: Uninstalled unused kernels including "the generic one without a number" as per http://askubuntu.com/a/103875/29347 and then also https://ubuntugenius.wordpress.com/2011/01/08/ubuntu-cleanup-how-to-remove-all-unused-linux-kernel-headers-images-and-modules/