A211368 - OEIS

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A211368

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

1, 2, 7, 6, 26, 127, 24, 126, 746, 5167, 120, 744, 5166, 41066, 368047, 720, 5160, 41064, 368046, 3669866, 40284847, 5040, 41040, 368040, 3669864, 40284846, 482671466, 6267305647, 40320, 367920, 3669840, 40284840, 482671464, 6267305646

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Index numbers (compare A055089) of rows of adjacent transpositions.

LINKS

Tilman Piesk, Table of n, a(n) for n = 1..2016

Tilman Piesk, Arrays of permutations (Wikiversity)

EXAMPLE

T(3,2) = Sum( 1 <= i <= 3 ) [ ( 2 + 2(i-1) )! ]

= (2+0)! + (2+2)! + (2+4)!

= 2 + 24 + 720