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%I #3 Mar 30 2012 18:58:49
%S 1,1,1,1,3,2,1,7,14,6,1,13,42,78,24,1,21,86,258,504,120,1,31,146,546,
%T 1752,3720,720,1,43,222,942,3768,13320,30960,5040,1,57,314,1446,6552,
%U 28920,113040,287280,40320,1,73,422,2058,10104,50520,246960,1063440
%N A square array of quadratic-factorial numbers, read by antidiagonals.
%C Rows include A000142, A001564, A082035, A082036.
%F Square array defined by T(n, k)=((kn)^2+kn+1)n!
%e Rows begin
%e 1 1 2 6 24 ...
%e 1 3 14 78 504 ...
%e 1 7 42 258 1752 ...
%e 1 13 86 546 3768 ...
%e 1 21 146 942 6552 ...
%Y Cf. A082037, A082039.
%K easy,nonn,tabl
%O 0,5
%A _Paul Barry_, Apr 02 2003