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 A083294 a(n) = (4 + (-9)^n)/5. 3

%I #16 Sep 08 2022 08:45:10

%S 1,-1,17,-145,1313,-11809,106289,-956593,8609345,-77484097,697356881,

%T -6276211921,56485907297,-508373165665,4575358490993,-41178226418929,

%U 370604037770369,-3335436339933313,30018927059399825,-270170343534598417,2431533091811385761

%N a(n) = (4 + (-9)^n)/5.

%H Vincenzo Librandi, <a href="/A083294/b083294.txt">Table of n, a(n) for n = 0..300</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (-8,9).

%F a(n) = (4 + (-9)^n)/5.

%F G.f.: (1+7*x)/((1-x)*(1+9*x)).

%F E.g.f.: (4*exp(x) + exp(-9*x))/5.

%t (4+(-9)^Range[0,20])/5 (* or *) LinearRecurrence[{-8,9},{1,-1},30] (* _Harvey P. Dale_, Sep 25 2021 *)

%o (Magma) [(4+(-9)^n)/5: n in [0..30]]; // _Vincenzo Librandi_, Jun 08 2011

%Y Cf. A083295.

%K easy,sign

%O 0,3

%A _Paul Barry_, Apr 24 2003

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)