# Finish The Pattern #2

Given a pattern:

0, 1, 2, 0.5, 2, 3, 5, 1, 2, 0, 2, 1, 4, 2, 3, $n$

Find the next item at $n$.

Pattern/sequence explanation required

For each $k$, the $4k$th term is the sum of the $(4k-3)$th and $(4k-2)$th terms divided by the $(4k-1)$th term. Thus: (0+1)/2=0.5; (2+3)/5=1; (2+0)/2=1; (4+2)/3=2.
I got this answer by noticing that 0,1,2 and 2,3,5 are the starts of well-known sequences, so it seems likely that the $4k$th term is always a fixed function of the preceding 3 terms.