In column A i have numbers calculated like so:
[A]
[1]
[2]
[3]
[4]
[1]
[2]
[3]
...
In column K I have values:
[row] [K]
[ 1 ]
You could use the INDIRECT function. This takes a string and converts it into a range
More info here
=INDIRECT("K"&A2)
But it's preferable to use INDEX as it is less volatile.
=INDEX(K:K,A2)
This returns a value or the reference to a value from within a table or range
More info here
Put either function into cell B2 and fill down.