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A064584
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Order of twisted group 2G2(3^(2*n + 1)).
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3
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1512, 10073444472, 49825657439340552, 239189910264352349332632, 1144503123693984541835958820392, 5474370186265837734230137135972625592, 26183874281059869023477124043633901590825032, 125236728809915185354190019796969393286848248539352, 599003428666412716882958241970105468686115269921659258472
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OFFSET
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0,1
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REFERENCES
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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.
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LINKS
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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).
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FORMULA
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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
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MATHEMATICA
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LinearRecurrence[{5321700, -2580612660198, 18555620546801700, -12157665459056928801}, {1512, 10073444472, 49825657439340552, 239189910264352349332632}, 10] (* Harvey P. Dale, Sep 28 2016 *)
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PROG
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(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
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CROSSREFS
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Cf. A033669, A037251.
Sequence in context: A107523 A282253 A317477 * A318713 A252508 A031810
Adjacent sequences: A064581 A064582 A064583 * A064585 A064586 A064587
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, Oct 17 2001
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STATUS
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approved
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