A267391 - OEIS

A267391

Number of elements of S_n with strategic pile of size 5.

0, 0, 0, 0, 0, 40, 240, 1980, 18240

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OFFSET

1,6

COMMENTS

Strategic pile is defined in A267323.

LINKS

Table of n, a(n) for n=1..9.

K. L. M. Adamyk, E. Holmes, G. R. Mayfield, D. J. Moritz, M. Scheepers, B. E. Tenner, H. C. Wauck, Sorting Permutations: Games, Genomes, and Cycles, arXiv:1410.2353 [math.CO], 2014-2017.

Marisa Gaetz, Bethany Flanagan, Marion Scheepers, Meghan Shanks, Quantifying CDS Sortability of Permutations by Strategic Pile Size, arXiv:1811.11937 [math.CO], 2018.

EXAMPLE

P = [7, 1, 5, 6, 2, 4, 3] has strategic pile size 5. The composition (0,3,4,2,6,5,1,7)(0,1,2,3,4,5,6,7) has cycle (7,3,2,4,1,6,0), and so the strategic pile of P is {1,2,3,4,6}.

CROSSREFS

A267323 gives the corresponding sequence for strategic piles of size 3.

A267324 gives the corresponding sequence for strategic piles of size 4.

Sequence in context: A235885 A068790 A073962 * A229632 A223426 A290127

Adjacent sequences: A267388 A267389 A267390 * A267392 A267393 A267394

KEYWORD

nonn,more

AUTHOR

Marion Scheepers, Jan 13 2016

STATUS

approved