A203314 - OEIS

This site is supported by donations to The OEIS Foundation.

A203314

v(n)/A000178(n); v=A080358 and A000178=(superfactorials).

1, 1, 3, 20, 1440, 126720, 106444800, 92649553920, 800492145868800, 169546981039511961600, 22908645527719529813114880, 98973345879641681792154678067200, 1436275858228814897897209896513621196800 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,3`
	REFERENCES	`R. Chapman, "A polynomial taking integer values," Mathematics Magazine 29 (1996) 121.`
	LINKS	`Table of n, a(n) for n=1..13.`
	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 *)`
	CROSSREFS	`Cf. A080358, A000178, A000040.` `Sequence in context: A108699 A162134 A002857 * A174652 A024011 A052445` `Adjacent sequences: A203311 A203312 A203313 * A203315 A203316 A203317`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling, Jan 01 2012`
	STATUS	`approved`

Content is available under The OEIS End-User License Agreement .

Last modified May 18 17:41 EDT 2013. Contains 225422 sequences.