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A203532 v(n+1)/v(n), where v=A203530.

%I A203532 #8 Jan 14 2013 08:51:37
%S A203532 10,168,3315,76608,2661120,113667840,4311354600,178738560000,
%T A203532 11178747740160,791853627801600,44783640216315000,2693449157020876800,
%U A203532 246209683227475968000,17126298576096297588000,1253392853589570355200000
%N A203532 v(n+1)/v(n), where v=A203530.
%t A203532 t = Table[If[PrimeQ[k], 0, k], {k, 1, 100}];
%t A203532 composite = Rest[Rest[Union[t]]]       (* A002808 *)
%t A203532 f[j_] := composite[[j]]; z = 20;
%t A203532 v[n_] := Product[Product[f[k] + f[j], {j, 1, k - 1}], {k, 2, n}]
%t A203532 d[n_] := Product[(i - 1)!, {i, 1, n}]  (* A000178 *)
%t A203532 Table[v[n], {n, 1, z}]                 (* A203530 *)
%t A203532 Table[v[n + 1]/v[n], {n, 1, z - 1}]    (* A203532 *)
%t A203532 Table[v[n]/d[n], {n, 1, 20}]           (* A203533 *)
%Y A203532 Cf. A203530, A203532, A002808, A093883, A203419.
%K A203532 nonn
%O A203532 1,1
%A A203532 _Clark Kimberling_, Jan 03 2012