A211367 Array read by antidiagonals: T(m,n) = m * Sum(1<=i<=m) (m+n-2+i)!

1, 2, 16, 6, 60, 450, 24, 288, 2592, 23616, 120, 1680, 17640, 184800, 2045400, 720, 11520, 138240, 1635840, 20188800, 263727360, 5040, 90720, 1224720, 16148160, 219769200, 3137732640, 47249833680, 40320, 806400, 12096000, 175795200

Offset: 1

Author

Tilman Piesk, Jul 07 2012

Keywords

• nonn
• tabl

Comments

Index numbers (compare A055089) of chains of transpositions.

Examples

			T(3,2) = 3 * Sum( 1 <= i <= 3 ) [ (3+i)! ]
= 3 * ( (3+1)! + (3+2)! + (3+3)! )
= 3 * ( 24 + 120 + 720 )
= 2592
		

Links

• Tilman Piesk, Table of n, a(n) for n = 1..2016
• Tilman Piesk, Arrays of permutations (Wikiversity)

Crossrefs

Cf. A055089.