Vivitar lenses like many other aftermarket lenses typically require a T-mount adapter that is threaded into the lens. The adapter will have the necessary fitting to attach to the camera. However your lens, which I have no personal experience with by the way, appears to have lugs. Perhaps it has a T-mount adapter already installed for something other than a Nikon. If that's the case you should be able to remove it by unscrewing the adapter from the lens and installing a suitable adapter for your Nikon. This link may be of interest to you:
T Mount T2 Lens Adapter for Nikon Nikkor AF DSLR SLR | eBay
I hope this helps. Good luck.
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