A107044 A symmetric factorial triangle, read by rows: T(n,k) = min(n,k)!.

1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 6, 2, 1, 1, 2, 6, 6, 2, 1, 1, 2, 6, 24, 6, 2, 1, 1, 2, 6, 24, 24, 6, 2, 1, 1, 2, 6, 24, 120, 24, 6, 2, 1, 1, 2, 6, 24, 120, 120, 24, 6, 2, 1, 1, 2, 6, 24, 120, 720, 120, 24, 6, 2, 1, 1, 2, 6, 24, 120, 720, 720, 120, 24, 6, 2, 1

Offset

1,5

Links

Table of n, a(n) for n=1..78.

Formula

Given A003983, replace each term with its factorial.

Example

First few rows of the triangle are:
1
1, 1
1, 2, 1
1, 2, 2, 1
1, 2, 6, 2, 1
1, 2, 6, 6, 2, 1
1, 2, 6, 24, 6, 2, 1 ...
Row having (1, 2, 3, 2, 1) in A003983 is replaced by (1, 2, 6, 2, 1) in A107044.

Crossrefs

Cf. A003983.

Sequence in context: A214257 A214248 A152719 * A141591 A174545 A102523

Adjacent sequences: A107041 A107042 A107043 * A107045 A107046 A107047

Keyword

nonn,tabl

Author

Gary W. Adamson, May 09 2005

Extensions

Edited by Michael Kleber, Apr 06 2009

Corrected by Philippe Deléham, Nov 07 2011

Status

approved