A094336 Product of next n numbers divided by the largest factorial divisor.

1, 1, 1, 1, 3003, 969, 16445, 30566, 886163135, 2658968130, 491796152, 3340843549855, 9129919051926, 22487406253165, 17391629252325717, 2248272948937235, 15415916972482007401455, 50848495433999570877570

Offset

1,5

Comments

Conjecture: a(n) > 1 for n > 4.

Links

Table of n, a(n) for n=1..18.

Example

a(5) = (11*12*13*14*15)/(5!) = 3003.
a(6) = (16*17*18*19*20*21)/(8!) = 969.

Mathematica

Table[a := Product[i, {i, n*(n - 1)/2 + 1, n*(n + 1)/2}]; b := 1; While[ IntegerQ[a/(b + 1)! ], b++ ]; a/b!, {n, 1, 20}] (* Stefan Steinerberger, Mar 14 2006 *)

Crossrefs

Sequence in context: A156655 A128935 A145304 * A100896 A324405 A140915

Adjacent sequences: A094333 A094334 A094335 * A094337 A094338 A094339

Keyword

nonn

Author

Amarnath Murthy, May 17 2004

Extensions

More terms from Stefan Steinerberger, Mar 14 2006

Status

approved