Table[C(0,5 mod n),{n,1,10}]

{1, 0, 0, 0, 1, 0, 0, 0, 0, 0}

Table[C(0,6 mod n),{n,1,10}]

{1, 1, 1, 0, 0, 1, 0, 0, 0, 0}