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%I #8 Jan 14 2013 08:49:26
%S 1,5,175,44100,60913125,427756329000,20552836095792000,
%T 6952965728817588480000,11895516181976215338950400000,
%U 99606443887767729350960121600000000,5830034964946921746536425070101217280000000
%N v(n)/A000178(n); v=A203527 and A000178=(superfactorials).
%C It is conjectured that every term of A203529 is an integer.
%t t = Table[If[PrimeQ[k], 0, k], {k, 1, 100}];
%t nonprime = Rest[Union[t]] (* A018252 *)
%t f[j_] := nonprime[[j]]; z = 20;
%t v[n_] := Product[Product[f[k] + f[j], {j, 1, k - 1}], {k, 2, n}]
%t d[n_] := Product[(i - 1)!, {i, 1, n}] (* A000178 *)
%t Table[v[n], {n, 1, z}] (* A203527 *)
%t Table[v[n + 1]/v[n], {n, 1, z - 1}] (* A203528 *)
%t Table[v[n]/d[n], {n, 1, 20}] (* A203529 *)
%Y Cf. A203527, A203528, A018252, A093883, A203417.
%K nonn
%O 1,2
%A _Clark Kimberling_, Jan 03 2012
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