> > :nnoremap n nzz
>
> As it appears that the intent here is to re-center the searched
> line, another approach is to set a high 'scrolloff' lines, like
>
> :set scrolloff=999
>
> That way, even backward search (or any other jump for that matter)
> would also re-center the screen.
Yeah, I wondered that, but it's one of those things that I find is
nice in certain instances, but drives me nuts if it's on all the
time. Other such things are 'hls' and having all yanks/deletions go
to my system clipboard. I find that being intentional in the couple
cases where I do want such features annoys me far less than having
them on all the time.
But if the OP wants the cursor centered all the time, that's
definitely the way to go.
-tim