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MATHEMATICA
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f[j_] := j + Floor[j/2]; z = 18;
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}] (* A203430 *)
Table[v[n + 1]/v[n], {n, 1, z - 1}] (* A203431 *)
Table[v[n]/d[n], {n, 1, 20}] (* A203432 *)
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