The On-Line Encyclopedia of Integer Sequences (OEIS)

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A211366

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

#9 by T. D. Noe at Fri Jul 13 17:34:09 EDT 2012

STATUS

editing

approved

#8 by T. D. Noe at Fri Jul 13 17:33:56 EDT 2012

NAME

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

EXAMPLE

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

STATUS

proposed

editing

#7 by Tilman Piesk at Fri Jul 13 04:27:31 EDT 2012

STATUS

editing

proposed

#6 by Tilman Piesk at Fri Jul 13 04:27:23 EDT 2012

NAME

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

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

COMMENTS

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

LINKS

Tilman Piesk, <a href="http://en.wikiversity.org/wiki/Inversion_%28discrete_mathematics%29#arrays1">Arrays of permutations</a> (Wikiversity)

EXAMPLE

A(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 code is shown on the Wikiversity page.

#5 by T. D. Noe at Mon Jul 09 18:54:17 EDT 2012

CROSSREFS

Cf. A055089.

STATUS

proposed

editing

#4 by Tilman Piesk at Sun Jul 08 12:32:36 EDT 2012

STATUS

editing

proposed

Discussion

Sun Jul 08

13:07

Joerg Arndt: Please add a proper definition.

#3 by Tilman Piesk at Sun Jul 08 12:31:51 EDT 2012

LINKS

Tilman Piesk, <a href="http://en.wikiversity.org/wiki/Inversion_%28discrete_mathematics%29#arrays1">Arrays of permutations</a>

KEYWORD

nonn,tabl,changed

#2 by Tilman Piesk at Sat Jul 07 20:26:37 EDT 2012

NAME

allocated for Tilman PieskIndex numbers (compare A055089) of permutations like (n,1, n+1,2, n+2,3, ...).

DATA

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

LINKS

Tilman Piesk, <a href="/A211366/b211366.txt">Table of n, a(n) for n = 1..2016</a>

KEYWORD

allocated

nonn

AUTHOR

Tilman Piesk, Jul 07 2012

STATUS

approved

editing

#1 by Tilman Piesk at Mon Apr 09 14:17:15 EDT 2012

NAME

allocated for Tilman Piesk

KEYWORD

allocated

STATUS

approved