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A242475 a(n) = 2^n + 8. 3

%I

%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.

%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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Last modified July 25 03:53 EDT 2021. Contains 346283 sequences. (Running on oeis4.)