The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 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 Harry J. Smith, Table of n, a(n) for n=0,...,50 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 Cf. A033669, A037251. Sequence in context: A107523 A282253 A317477 * A318713 A252508 A031810 Adjacent sequences:  A064581 A064582 A064583 * A064585 A064586 A064587 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 13 02:36 EDT 2021. Contains 343836 sequences. (Running on oeis4.)