%I #9 Jul 13 2012 17:34:52
%S 1,2,16,6,60,450,24,288,2592,23616,120,1680,17640,184800,2045400,720,
%T 11520,138240,1635840,20188800,263727360,5040,90720,1224720,16148160,
%U 219769200,3137732640,47249833680,40320,806400,12096000,175795200
%N Array read by antidiagonals: T(m,n) = m * Sum(1<=i<=m) (m+n-2+i)!
%C Index numbers (compare A055089) of chains of transpositions.
%H Tilman Piesk, <a href="/A211367/b211367.txt">Table of n, a(n) for n = 1..2016</a>
%H Tilman Piesk, <a href="http://en.wikiversity.org/wiki/Inversion_%28discrete_mathematics%29#arrays2">Arrays of permutations</a> (Wikiversity)
%e T(3,2) = 3 * Sum( 1 <= i <= 3 ) [ (3+i)! ]
%e = 3 * ( (3+1)! + (3+2)! + (3+3)! )
%e = 3 * ( 24 + 120 + 720 )
%e = 2592
%Y Cf. A055089.
%K nonn,tabl
%O 1,2
%A _Tilman Piesk_, Jul 07 2012