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The question is "Find closed formula for the sequence 0,1,3,0,1,3,0,1,3...."

It can be written as (0,1,0,0,1,0,0,1,0...)+3*(0,0,1,0,0,1,0,0,1...)

I know the sequence of 0,0,1,0,0,1..., but I do not know how to get the

sequence of 0,1,0,0,1,0...

And is there any easier way to get the sequence of 0,0,1,0,0,1...or 0,1,0,0,1,0...?

Thank you...