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%I #20 Nov 11 2023 16:42:34
%S 9,10,12,16,24,40,72,136,264,520,1032,2056,4104,8200,16392,32776,
%T 65544,131080,262152,524296,1048584,2097160,4194312,8388616,16777224,
%U 33554440,67108872,134217736,268435464,536870920,1073741832
%N a(n) = 2^n + 8.
%H Vincenzo Librandi, <a href="/A242475/b242475.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).
%F G.f.: (9 - 17*x)/((1 - x)*(1 - 2*x)).
%F a(n) = 2*a(n-1) - 8 = 3*a(n-1) - 2*a(n-2).
%F a(n) = A052548(n)+6 = A140504(n)+4 = A153972(n)+2.
%F E.g.f.: exp(2*x) + 8*exp(x). - _Elmo R. Oliveira_, Nov 11 2023
%t Table[2^n + 8, {n, 0, 40}] (* or *) CoefficientList[Series[(9 - 17 x)/((1 - x) (1 - 2 x)),{x, 0, 30}], x]
%o (Magma) [2^n+8: n in [0..40]];
%Y Cf. A000051, A052548, A062709, A140504, A168614, A153972, A168415, A188165.
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, May 20 2014
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