%I A049682
%S A049682 0,1,49,2304,108241,5085025,238887936,11222647969,527225566609,
%T A049682 24768378982656
%N A049682 a(n)=(L(8n)-2)/45, where L=A000032 (the Lucas sequence).
%F A049682 a(n) = 1/45*{-2+[(47+7*sqrt(45))/2]^n+[(47-7*sqrt(45))/2]^n}. - R. Stephan, 
               Apr 14 2004
%F A049682 a(n)=(A004187(n))^2 = 48*a(n-1)-48*a(n-2)+a(n-3). G.f.: -x*(1+x)/((x-1)*(x^2-47*x+1)). 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 03 2009]
%o A049682 (Mupad) numlib::fibonacci(4*n)^2/9 $ n = 0..25; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               May 09 2008
%Y A049682 Sequence in context: A065785 A163927 A061615 this_sequence A120999 A087752 
               A069741
%Y A049682 Adjacent sequences: A049679 A049680 A049681 this_sequence A049683 A049684 
               A049685
%K A049682 nonn
%O A049682 0,3
%A A049682 Clark Kimberling (ck6(AT)evansville.edu)