login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A086087 a(n) is the minimal m such that the group GL(m,3) has an element of order n. 1
1, 2, 2, 4, 2, 6, 2, 4, 4, 5, 4, 3, 6, 6, 4, 16, 4, 18, 4, 8, 5, 11, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

For n > 2, a(prime(n)) = A062117(n). Also, for any n, a(n) <= n. - Eric M. Schmidt, May 18 2013

LINKS

Table of n, a(n) for n=2..24.

PROG

(GAP)

A086087 := function(n) local m; if IsPrime(n) and n>3 then return Order(3*Z(n)^0); fi; m := 1; while true do if ForAny(ConjugacyClasses(GL(m, 3)), cc->Order(Representative(cc))=n) then return m; fi; m := m + 1; od; end; # Eric M. Schmidt, May 18 2013

CROSSREFS

Cf. A085430, A053290.

Sequence in context: A258446 A054704 A143525 * A284476 A082174 A278235

Adjacent sequences:  A086084 A086085 A086086 * A086088 A086089 A086090

KEYWORD

nonn,more

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 24 2003

EXTENSIONS

Extended and corrected by Eric M. Schmidt, May 18 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. . Note: Contributor's License Agreement was changed Aug 14 2018.

Last modified August 14 21:07 EDT 2018. Contains 313756 sequences. (Running on oeis4.)