

A014766


Numbers k such that the 3k shuffle group does not accomplish a perfect shuffle.


1



9, 12, 24, 27, 36, 48, 60, 72, 81, 84, 96, 108, 120
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


REFERENCES

W. Bosma et al., Solving Problems with Magma, Sect. 2.2.3.
Cannon and Playoust, An Introduction to MAGMA, Section 6.3.1.


LINKS

Table of n, a(n) for n=1..13.
P. Diaconis, The mathematics of perfect shuffles, Adv. Appl. Math. 4 (2) (1983) 175196.
Steve Medvedoff and Kent Morrison, Groups of perfect shuffles, Math. Mag. 60 (1987), no. 1, 314.


FORMULA

Conjecture: k is in the sequence if k = 3^(m+1) or k = 12 * m for m >= 1.  Sean A. Irvine, Nov 19 2018


CROSSREFS

Cf. A014525.
Sequence in context: A157973 A057577 A328069 * A182877 A114434 A105704
Adjacent sequences: A014763 A014764 A014765 * A014767 A014768 A014769


KEYWORD

nonn,more,nice


AUTHOR

N. J. A. Sloane


STATUS

approved



