f[j_] := Prime[j + 1]; z = 17;
v[n_] := Product[Product[f[k] - f[j], {j, 1, k - 1}], {k, 2, n}]
d[n_] := Product[(i - 1)!, {i, 1, n}]
Table[v[n], {n, 1, z}] (*
A203315 *)
Table[v[n + 1]/(2 v[n]), {n, 1, z - 1}] (*
A203316 *)
Table[v[n]/d[n], {n, 1, 20}] (*
A203317 *)
