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.

A055388 Number of riffle shuffles of 2n cards required to return the deck to its initial state.

This page as a plain text file.
%I A055388 #25 Sep 09 2023 22:28:15
%S A055388 2,2,4,6,6,10,12,4,8,18,6,22,20,18,28,10,10,12,36,12,20,14,12,46,42,8,
%T A055388 52,20,18,58,60,6,12,66,22,70,18,20,30,78,54,82,8,28,22,12,10,36,48,
%U A055388 30,100,102,12,106,36,36,28,44,12,24,110,20,100,14,14,130,18
%N A055388 Number of riffle shuffles of 2n cards required to return the deck to its initial state.
%C A055388 Actually called overhand shuffle in the article. - _Michel Marcus_, Jun 22 2013
%H A055388 Charles R Greathouse IV, <a href="/A055388/b055388.txt">Table of n, a(n) for n = 1..10000</a>
%H A055388 Steve M. Cohen and Paul R. Coe, <a href="http://www.maa.org/sites/default/files/0746834251567.di020767.02p0149j.pdf">Card shuffling in discrete mathematics</a>, The College Mathematics Journal, Vol. 26, No. 3 (May, 1995), pp. 224-227.
%F A055388 a(n) = 2*min(k) with k such that 4^k == 1 (mod 2n-1), see page 227 of article. - _Michel Marcus_, Jun 22 2013
%t A055388 a[n_] := LCM[MultiplicativeOrder[2, 2n-1], 2]; Array[a, 100] (* _Jean-François Alcover_, Dec 10 2015, adapted from PARI *)
%o A055388 (PARI) a(n)=lcm(znorder(Mod(2,2*n-1)),2) \\ _Charles R Greathouse IV_, Jun 24 2013
%K A055388 easy,nonn
%O A055388 1,1
%A A055388 _Robert G. Wilson v_, Jul 05 2000