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

Author

Gary W. Adamson, May 09 2005

Keywords

• nonn
• tabl

Examples

			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.

Formula

Given A003983, replace each term with its factorial.

Extensions

Edited by Michael Kleber, Apr 06 2009

Corrected by Philippe Deléham, Nov 07 2011