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

1, 8, 480, 322560, 1857945600, 137339338752000, 90498933234597888000, 806410654352196092559360000, 151104996166246050391298219704320000, 278316545034703677313682486677538340864000000

Offset: 1

Author

Clark Kimberling, Jan 03 2012

Keywords

• nonn

Comments

It is conjectured that every term of A203526 is an integer.

Crossrefs

Cf. A203524, A203525, A093883, A203317.

Programs

Mathematica

f[j_] := Prime[j + 1]; z = 17;
v[n_] := Product[Product[f[k] + f[j], {j, 1, k - 1}], {k, 2, n}]
d[n_] := Product[(i - 1)!, {i, 1, n}]    (* A000178 *)
Table[v[n], {n, 1, z}]                   (* A203524 *)
Table[v[n + 1]/(8 v[n]), {n, 1, z - 1}]  (* A203525 *)
Table[v[n]/d[n], {n, 1, 20}]             (* A203526 *)