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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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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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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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