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A203526 v(n)/A000178(n); v=A203524 and A000178=(superfactorials).

%I A203526 #7 Jan 14 2013 08:47:05
%S A203526 1,8,480,322560,1857945600,137339338752000,90498933234597888000,
%T A203526 806410654352196092559360000,151104996166246050391298219704320000,
%U A203526 278316545034703677313682486677538340864000000
%N A203526 v(n)/A000178(n); v=A203524 and A000178=(superfactorials).
%C A203526 It is conjectured that every term of A203526 is an integer.
%t A203526 f[j_] := Prime[j + 1]; z = 17;
%t A203526 v[n_] := Product[Product[f[k] + f[j], {j, 1, k - 1}], {k, 2, n}]
%t A203526 d[n_] := Product[(i - 1)!, {i, 1, n}]    (* A000178 *)
%t A203526 Table[v[n], {n, 1, z}]                   (* A203524 *)
%t A203526 Table[v[n + 1]/(8 v[n]), {n, 1, z - 1}]  (* A203525 *)
%t A203526 Table[v[n]/d[n], {n, 1, 20}]             (* A203526 *)
%Y A203526 Cf. A203524, A203525, A093883, A203317.
%K A203526 nonn
%O A203526 1,2
%A A203526 _Clark Kimberling_, Jan 03 2012