%I #10 Sep 08 2013 19:59:14
%S 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,
%T 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,
%U 720,120,24,6,2,1,1,2,6,24,120,720,720,120,24,6,2,1
%N A symmetric factorial triangle, read by rows: T(n,k) = min(n,k)!.
%F Given A003983, replace each term with its factorial.
%e First few rows of the triangle are:
%e 1
%e 1, 1
%e 1, 2, 1
%e 1, 2, 2, 1
%e 1, 2, 6, 2, 1
%e 1, 2, 6, 6, 2, 1
%e 1, 2, 6, 24, 6, 2, 1 ...
%e Row having (1, 2, 3, 2, 1) in A003983 is replaced by (1, 2, 6, 2, 1) in A107044.
%Y Cf. A003983.
%K nonn,tabl
%O 1,5
%A _Gary W. Adamson_, May 09 2005
%E Edited by _Michael Kleber_, Apr 06 2009
%E Corrected by _Philippe Deléham_, Nov 07 2011