cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

User: Camillia Smith Barnes

Camillia Smith Barnes's wiki page.

Camillia Smith Barnes has authored 2 sequences.

A145208 Number of distinct shuffles of the identity permutation on n letters with the halfway-wrapped around permutation k+1,k+2,...,n-1,n,1,2,...,k where k=floor(n/2).

Original entry on oeis.org

1, 4, 13, 54, 197, 792, 2977, 11750, 44744, 175066, 671783, 2619148, 10104590
Offset: 1

Author

Camillia Smith Barnes, Oct 04 2008

Keywords

Comments

A complicated formula has been found but needs to be simplified before entering here; also, a Maple program is on the way.

Examples

			For n=2, the distinct shuffles of 12 with 21 are: 1221, 1212, 2112, 2121.
		

References

  • C. Smith, dissertation, Harvard University, forthcoming.

A145211 Maximal number of distinct shuffles of the identity permutation on n letters with another permutation on n letters.

Original entry on oeis.org

1, 4, 14, 54, 197, 792
Offset: 1

Author

Camillia Smith Barnes, Oct 04 2008

Keywords

Comments

For n=4,5,6, the maximum number is achieved by the following permutations, respectively: 3412, 34512, 456123.

Examples

			For n=2, the distinct shuffles of 12 with 21 are: 1221, 1212, 2112, 2121.
		

References

  • C. Smith, dissertation, Harvard University, forthcoming.