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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], 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
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 17 2001
STATUS
approved