login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A064584 Order of twisted group 2G2(3^(2*n + 1)). 3
1512, 10073444472, 49825657439340552, 239189910264352349332632, 1144503123693984541835958820392, 5474370186265837734230137135972625592, 26183874281059869023477124043633901590825032, 125236728809915185354190019796969393286848248539352, 599003428666412716882958241970105468686115269921659258472 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
R. W. Carter, Simple Groups of Lie Type, Wiley 1972, Chap. 14.
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985, p. xvi.
LINKS
Index entries for linear recurrences with constant coefficients, signature (5321700,-2580612660198,18555620546801700,-12157665459056928801).
FORMULA
a(n) = q^6*(q^2-1)*(q^6+1), where q^2 = 3^(2*n+1).
G.f.: 1512*(1+59049*x)*(1+1281582*x+3486784401*x^2) / ((1-729*x)*(1-6561*x)*(1-531441*x)*(1-4782969*x)). - Colin Barker, Dec 25 2015
MATHEMATICA
LinearRecurrence[{5321700, -2580612660198, 18555620546801700, -12157665459056928801}, {1512, 10073444472, 49825657439340552, 239189910264352349332632}, 10] (* Harvey P. Dale, Sep 28 2016 *)
PROG
(PARI) { for (n=0, 50, q2 = 3^(2*n + 1); a=q2^3*(q2 - 1)*(q2^3 + 1); write("b064584.txt", n, " ", a) ) } \\ Harry J. Smith, Sep 19 2009
(PARI) Vec(1512*(1+59049*x)*(1+1281582*x+3486784401*x^2) / ((1-729*x)*(1-6561*x)*(1-531441*x)*(1-4782969*x)) + O(x^10)) \\ Colin Barker, Dec 25 2015
CROSSREFS
Sequence in context: A282253 A368545 A317477 * A318713 A252508 A031810
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 17 2001
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)