%I #7 Mar 30 2012 17:35:53
%S 1,2,3,6,12,13,24,60,74,75,120,360,510,540,541,720,2520,4080,4620,
%T 4682,4683,5040,20160,36960,45360,47166,47292,47293,40320,181440,
%U 372960,498960,539784,545580,545834,545835,362880,1814400,4142880,6048000
%N Triangle read by rows: T(n,k)=sum((n+1-i)!*stirling2(n,n+1-i),i=1..k), n>=1, 1<=k<=n.
%C Interpolates between A000670 and factorials.
%F T(n, k)=sum((n+1-i)!*stirling2(n, n+1-i), i=1..k), n>=1, 1<=k<=n.
%e 1;2,3;6,12,13;24,60,74,75;120,360,510,540,541;
%p with(combinat): T:=(n,k)->sum((n+1-i)!*stirling2(n,n+1-i),i=1..k): seq(seq(T(n,k),k=1..n),n=1..10);
%Y Mirror image of array in A084416.
%Y T(n, 1)=n!=A000142(n), T(n, n)=A000670(n), T(n, n-1)=A052875(n).
%K nonn,tabl,easy
%O 1,2
%A _N. J. A. Sloane_, Jun 24 2003
%E Edited by _Emeric Deutsch_, May 11 2004