login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A211369 Array read by antidiagonals: T(m,n) = m*(m+n-1)! + Sum( n <= i <= m+n-2 ) i! 2
1, 2, 5, 6, 14, 21, 24, 54, 80, 105, 120, 264, 390, 512, 633, 720, 1560, 2304, 3030, 3752, 4473, 5040, 10800, 15960, 21024, 26070, 31112, 36153, 40320, 85680, 126720, 167160, 207504, 247830, 288152, 328473, 362880, 766080, 1134000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Index numbers (compare A055089) of transpositions.

LINKS

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

Tilman Piesk, Arrays of permutations (Wikiversity)

FORMULA

T(m,1) = A001563(m) + A007489(m-1). - R. J. Mathar, May 11 2013

EXAMPLE

T(3,2) = 3*4! + Sum( 2 <= i <= 3 ) i!

= 3*4! + 2! + 3!

= 3*24 + 2 + 6 = 80.

The array starts:

     1,     2,     6,    24,   120,...

     5,    14,    54,   264,  1560,...

    21,    80,   390,  2304, 15960,...

   105,   512,  3030, 21024,167160,...

   633,  3752, 26070,207504,1860600,...

MAPLE

A211369 := proc(m, n)

    m*(m+n-1)!+add(i!, i=n..m+n-2) ;

end proc: # R. J. Mathar, May 10 2013

CROSSREFS

Cf. A055089, A000142 (row 1), A052649 (row 2)

Sequence in context: A191229 A191120 A245540 * A006596 A000092 A100630

Adjacent sequences:  A211366 A211367 A211368 * A211370 A211371 A211372

KEYWORD

nonn,tabl

AUTHOR

Tilman Piesk, Jul 07 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 20 20:04 EST 2014. Contains 252289 sequences.