%I A084130
%S A084130 1,4,24,160,1088,7424,50688,346112,2363392,16138240,110198784,752484352,
%T A084130 5138284544,35086401536,239584935936,1635988275200,11171226714112,
%U A084130 76281907511296,520885446377472,3556828310929408,24287542916415488
%N A084130 a(n)=8a(n-1)-8a(n-2), a(0)=1,a(1)=4.
%C A084130 Binomial transform of A001541.
%F A084130 a(n)=(4+sqrt(8))^n/2+(4-sqrt(8))^n/2; G.f.: (1-4x)/(1-8x+8x^2); E.g.f.: 
               exp(4x)cosh(sqrt(8)x).
%o A084130 (PARI) {a(n)= if(n<0, 0, real((4+ 2*quadgen(8))^n))}
%Y A084130 Cf. A084131.
%Y A084130 Sequence in context: A091166 A078108 A117337 this_sequence A059304 A069722 
               A027079
%Y A084130 Adjacent sequences: A084127 A084128 A084129 this_sequence A084131 A084132 
               A084133
%K A084130 easy,nonn
%O A084130 0,2
%A A084130 Paul Barry (pbarry(AT)wit.ie), May 16 2003