login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A263489 Triangle read by rows: T(n,k) (n>=2, 1<=k<=n!) is the number of permutations of n whose inversion arrangement contains k regions. 0

%I #6 Oct 25 2015 10:53:58

%S 1,1,1,2,0,2,0,1,1,3,0,5,0,2,0,4,0,0,0,4,0,1,0,0,0,3,0,0,0,0,0,1,1,4,

%T 0,9,0,3,0,12,0,0,0,10,0,2,0,8,0,6,0,0,0,0,0,14,0,0,0,4,0,0,0,0,0,0,0,

%U 14,0,0,0,0,0,2,0,0,0,2,0,4,0,0,0,0,0,7,0,0,0,0,0,4,0,0,0,0,0,0,0,0

%N Triangle read by rows: T(n,k) (n>=2, 1<=k<=n!) is the number of permutations of n whose inversion arrangement contains k regions.

%C Row sums give A000142, n >= 2.

%H FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000040">The number of regions of inversion arrangement of a permutation</a>.

%e Triangle begins:

%e 1,1,

%e 1,2,0,2,0,1,

%e 1,3,0,5,0,2,0,4,0,0,0,4,0,1,0,0,0,3,0,0,0,0,0,1,

%e ...

%Y Cf. A000142.

%K nonn,tabf

%O 2,4

%A _Christian Stump_, Oct 19 2015

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)