A203523 v(n)/A000178(n); v=A203521 and A000178=(superfactorials).

1, 5, 140, 25200, 55036800, 951035904000, 222618484408320000, 440079343769868042240000, 12254449406615745504215040000000, 7909254579604123100510930935480320000000, 48073937540175558516708030362614204937011200000000

Offset: 1

Author

Clark Kimberling, Jan 03 2012

Keywords

• nonn

Comments

It is conjectured that every term of A203523 is an integer.

Crossrefs

Cf. A203522, A203523, A000040, A093883.

Programs

Mathematica

f[j_] := Prime[j]; z = 15;
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}]                (* A203521 *)
Table[v[n + 1]/v[n], {n, 1, z - 1}]   (* A203522 *)
Table[v[n]/d[n], {n, 1, 20}]          (* A203523 *)