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Desmos, 205 bytes
V=[0,1,0,1,1,1,0,1,0]
z=2
t=length(V)
R=[sign(t-i+.2)Ă·2+.5fori=[1...t+100]]
X=[1-R[j]+R[j]V[jR[j]+1-R[j]]forj=[1...t+100]]
\sum_{y=1}^z\prod_{v=1}^{floor(\frac{t-y+z}{z})}[X[y+kz]fork=[0...(t-z+10-y)Ă·z]][v]
The problem is it tells you my equation has a problem, but if you click...