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.

A085430 a(n) is the minimal m such that the group GL(m,2) has an element of order n.

This page as a plain text file.
%I A085430 #6 May 17 2013 11:14:56
%S A085430 2,2,3,4,4,3,5,6,6,10,5,12,5,4,9,8,8,18,7,5,12,11,7,20,14
%N A085430 a(n) is the minimal m such that the group GL(m,2) has an element of order n.
%C A085430 For n > 1, a(prime(n)) = A014664(n). Also, a(n) <= n. - _Eric M. Schmidt_, May 17 2013
%o A085430 (GAP)
%o A085430 A085430 := function(n) local m; if IsPrime(n) and n>2 then return Order(2*Z(n)^0); fi; m := 1; while true do if ForAny(ConjugacyClasses(GL(m,2)), cc->Order(Representative(cc))=n) then return m; fi; m := m + 1; od; end; # _Eric M. Schmidt_, May 17 2013
%Y A085430 Cf. A002884.
%K A085430 nonn,more
%O A085430 2,1
%A A085430 Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 18 2003
%E A085430 Sequence extended and corrected by _Eric M. Schmidt_, May 17 2013