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A014766 Numbers k such that the 3k shuffle group does not accomplish a perfect shuffle. 1

%I #17 Dec 17 2021 00:57:02

%S 9,12,24,27,36,48,60,72,81,84,96,108,120

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

%D W. Bosma et al., Solving Problems with Magma, Sect. 2.2.3.

%D Cannon and Playoust, An Introduction to MAGMA, Section 6.3.1.

%H P. Diaconis, <a href="http://dx.doi.org/10.1016/0196-8858(83)90009-X">The mathematics of perfect shuffles</a>, Adv. Appl. Math. 4 (2) (1983) 175-196.

%H Steve Medvedoff and Kent Morrison, <a href="http://www.jstor.org/stable/2690131">Groups of perfect shuffles</a>, Math. Mag. 60 (1987), no. 1, 3-14.

%F Conjecture: k is in the sequence if k = 3^(m+1) or k = 12 * m for m >= 1. - _Sean A. Irvine_, Nov 19 2018

%Y Cf. A014525.

%K nonn,more,nice

%O 1,1

%A _N. J. A. Sloane_

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)