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A203523
v(n)/A000178(n); v=A203521 and A000178=(superfactorials).
3
1, 5, 140, 25200, 55036800, 951035904000, 222618484408320000, 440079343769868042240000, 12254449406615745504215040000000, 7909254579604123100510930935480320000000, 48073937540175558516708030362614204937011200000000
OFFSET
1,2
COMMENTS
It is conjectured that every term of A203523 is an integer.
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 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 03 2012
STATUS
approved