%I #3 Mar 30 2012 18:58:49
%S 1,1,1,1,2,2,1,3,6,6,1,4,10,24,24,1,5,14,42,120,120,1,6,18,60,216,720,
%T 720,1,7,22,78,312,1320,5040,5040,1,8,26,96,408,1920,9360,40320,40320,
%U 1,9,30,114,504,2520,13680,75600,362880,362880
%N A square array of linear-factorial numbers, read by antidiagonals.
%C Rows include A000142(n), A000142(n+1), A007680, A082033, A082034. Columns include 2!*A005408(n),3!*A016777(n),4!*A016813(n),5!*A016861. Main diagonal is A082042.
%F Square array defined by T(n, k)=(kn+1)n!
%e Rows begin
%e 1 1 2 6 ....
%e 1 2 6 24 ...
%e 1 3 10 42 ...
%e 1 4 14 60 ...
%e 1 5 18 78 ...
%Y Cf. A077038.
%K easy,nonn,tabl
%O 0,5
%A _Paul Barry_, Apr 02 2003