A203317 a(n) = A203315(n)/A000178(n) where A000178=(superfactorials).

1, 2, 8, 256, 10240, 3440640, 1233125376, 4058744094720, 286551971651911680, 13351029463205868994560, 18128348229848045861669437440, 80945830355202461675325011924090880, 223346912509970707926726595810215906508800

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. A203315, A203316, A000040.

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}]
Table[v[n], {n, 1, z}]                  (* A203315 *)
Table[v[n + 1]/(2 v[n]), {n, 1, z - 1}] (* A203316 *)
Table[v[n]/d[n], {n, 1, 20}]            (* A203317 *)