Search: id:A083695
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%I A083695
%S A083695 0,3,6,27,84,303,1026,3567,12264,42363,146046,503907,1738044,5995623,
%T A083695 20681466,71341047,246089424,848884083,2928215286,10100850987,
%U A083695 34842778404,120189811743,414593515506,1430136089727,4933239756984
%N A083695 a(n)=2a(n-1)+5a(n-2).
%C A083695 A002533(n)/a(n) converges to sqrt(2/3), n>0. a(n)=3*A002533(n-1)+a(n-1).
%F A083695 G.f.: 3x/(1-2x-5x^2). a(n)=3[(1+sqrt(6))^n-(1-sqrt(6))^n]/(2*sqrt(6)).
%t A083695 CoefficientList[Series[3x/(1-2x-5x^2), {x, 0, 25}], x]
%Y A083695 Sequence in context: A014561 A034502 A023169 this_sequence A060170 A097678 
               A074894
%Y A083695 Adjacent sequences: A083692 A083693 A083694 this_sequence A083696 A083697 
               A083698
%K A083695 easy,nonn
%O A083695 0,2
%A A083695 Mario Catalani (mario.catalani(AT)unito.it), May 03 2003

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