A203314 a(n) = A080358(n)/A000178(n) where A000178 are superfactorials.

1, 1, 3, 20, 1440, 126720, 106444800, 92649553920, 800492145868800, 169546981039511961600, 22908645527719529813114880, 98973345879641681792154678067200, 1436275858228814897897209896513621196800

Offset: 1

Author

Clark Kimberling, Jan 01 2012

Keywords

• nonn

Links

• R. Chapman, A polynomial taking integer values, Mathematics Magazine, 29 (1996), 121.

Crossrefs

Cf. A080358, A000178, A000040.

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}]
Table[v[n], {n, 1, z}]              (* A080358 *)
Table[v[n + 1]/v[n], {n, 1, z - 1}] (* A086803 *)
Table[v[n]/d[n], {n, 1, 20}]        (* A203314 *)

Extensions

Name edited by Michel Marcus, May 17 2019