Search: id:A005417
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%I A005417 M1587
%S A005417 2,6,12,30,60,120,210,420,840,1260,2520,2520,5040,9240,13860,27720,
%T A005417 32760,55440,65520,120120,180180,360360,360360,720720,720720,942480,1113840
%N A005417 Maximal period of an n-stage shift register.
%C A005417 Maximal order of an element of finite order in GL(2n, Z) or GL(2n+1, 
               Z).
%C A005417 a(n) is the max of the first n numbers in A080742.
%D A005417 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005417 J. Kuzmanovich and A. Pavlichenkov, Finite groups of matrices whose entries 
               are integers, Amer. Math. Monthly, 109 (2002), 173-186.
%D A005417 H. L\"{u}neburg, Galoisfelder, Kreisteilungskorper und Schieberegisterfolgen. 
               B. I. Wissenschaftsverlag, Mannheim, 1979.
%F A005417 a(n) = max m such that A067240(m) <= 2n. E.g. a(2) = 12 since 12 is largest 
               m such that A067240(m) <= 4.
%Y A005417 Cf. A000793, A080742, A080743.
%Y A005417 Sequence in context: A056267 A133996 A080742 this_sequence A058215 A166456 
               A162214
%Y A005417 Adjacent sequences: A005414 A005415 A005416 this_sequence A005418 A005419 
               A005420
%K A005417 nonn,easy,nice,more
%O A005417 0,1
%A A005417 N. J. A. Sloane (njas(AT)research.att.com). Entry revised Mar 10, 2002.

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