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%I #7 Jan 14 2013 08:53:20
%S 1,10,840,464100,1481407200,32851686067200,5186361382800998400,
%T 4436556151786001058816000,19667253420867342693731328000000,
%U 605862171333980479840975997239296000000,132207384898194165523202154782408753283072000000
%N v(n)/A000178(n); v=A203527 and A000178=(superfactorials).
%C It is conjectured that every term of A203533 is an integer.
%t t = Table[If[PrimeQ[k], 0, k], {k, 1, 100}];
%t composite = Rest[Rest[Union[t]]] (* A002808 *)
%t f[j_] := composite[[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}] (* A203530 *)
%t Table[v[n + 1]/v[n], {n, 1, z - 1}] (* A203532 *)
%t Table[v[n]/d[n], {n, 1, 20}] (* A203533 *)
%Y Cf. A203530, A203532, A002808, A093883, A203420.
%K nonn
%O 1,2
%A _Clark Kimberling_, Jan 03 2012
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