A211366 Array read by antidiagonals: T(m,n) = Sum(1<=i<=m) i * ( n + 2(i-1) )!

1, 2, 13, 6, 50, 373, 24, 246, 2210, 20533, 120, 1464, 15366, 163490, 1834933, 720, 10200, 122424, 1466886, 18307490, 241335733, 5040, 81360, 1098840, 14637624, 201050886, 2892317090, 43830481333, 40320, 730800, 10967760, 160766040

Offset

1,2

Comments

Index numbers (compare A055089) of permutations like (n,1, n+1,2, n+2,3, ...).

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 ) i * ( 2 + 2(i-1) )!
= 1*(2+0)! + 2*(2+2)! + 3*(2+4)!
= 1*2 + 2*24 + 3*720
= 2210

Prog

(MATLAB) % See Links section (the Wikiversity page).

Crossrefs

Cf. A055089.

Sequence in context: A324003 A176466 A128155 * A158088 A124869 A292007

Adjacent sequences: A211363 A211364 A211365 * A211367 A211368 A211369

Keyword

nonn,tabl,changed

Author

Tilman Piesk, Jul 07 2012

Status

approved