I have a laplace transform of F(P) = [1-exp(-p)]/[p(1+exp(-2p)] and it tells me to find the laplace transform of y(t) and it gives me a graph where:

y(0) = 0

y(1) = 1

y(2) = 1

y(3) = 0

y(4) = 0

y(5) = 1

y(6) = 1

and the pattern continues

I think this is come kind of heaviside step function but how do i find out the equation to it?