A203317 - OEIS

A203317

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

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

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..13.

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

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 *)

CROSSREFS

Cf. A203315, A203316, A000040.

Sequence in context: A012345 A012341 A299374 * A258161 A012296 A009675

Adjacent sequences: A203314 A203315 A203316 * A203318 A203319 A203320

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 01 2012

STATUS

approved