(Edit, jdeg beat me to it)
Looks like 1959.
Found a pic of the exact lens with the following description here..
http://www.mir.com.my/rb/photography/companies/nikon/nikkoresources/6070nikkor/telephoto/135mm.htm
[FONT=arial, verdana, geneva, helvetica]
Non-Ai [/FONT][FONT=arial, verdana, geneva, helvetica]
135mm f/3.5[/FONT][FONT=arial, verdana, geneva, helvetica]
Nikkor-Q Auto telephoto lens
One of the earliest batch of Nikkor lenses introduced along with Nikon F in 1959 was a 13.5cm f/3.5 Nikkor-Q Auto telephoto lens. [/FONT]
[FONT=arial, verdana, geneva, helvetica]Stephen Gandy[/FONT][FONT=arial, verdana, geneva, helvetica]
at Cameraquest has a very detailed description of these lenses which he termed them as "Tick-Mark " (??) lenses. As I don't intend to duplicate resources on the network, if you are interested, you may use Stephen's site as the reference for those lenses. All these 135mm lenses have subsequently went through a few rounds of improvement rather than seeing any changes optically where it still stuck to a straight forward 4 elements in 3 groups optical construction.[/FONT]