Search: id:A057819
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%I A057819
%S A057819 4,9,32,119,444,1657,6184,23079,86132,321449,1199664,4477207,16709164,
%T A057819 62359449,232728632,868555079,3241491684,12097411657,45148154944,
%U A057819 168495208119,628832677532,2346835502009,8758509330504,32687201820007
%N A057819 a(0)=4, a(1)=9, a(n)=4a(n-1)-a(n-2).
%H A057819 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A057819 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A057819 G.f.: (4-7x)/(1-4x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 16 2008]
%F A057819 a(n)=-(1/6)*sqrt(3)*[2-sqrt(3)]^n+(1/6)*sqrt(3)*[2+sqrt(3)]^n+2*[2-sqrt(3)]^n+2*[2 
               +sqrt(3)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 20 
               2008]
%Y A057819 Sequence in context: A149118 A149119 A149120 this_sequence A129196 A119574 
               A006393
%Y A057819 Adjacent sequences: A057816 A057817 A057818 this_sequence A057820 A057821 
               A057822
%K A057819 nonn
%O A057819 0,1
%A A057819 N. J. A. Sloane (njas(AT)research.att.com), Nov 09 2000

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