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A199762 a(n) = (9*11^n+1)/2. 1

%I #15 Dec 29 2023 11:14:25

%S 5,50,545,5990,65885,724730,7972025,87692270,964614965,10610764610,

%T 116718410705,1283902517750,14122927695245,155352204647690,

%U 1708874251124585,18797616762370430,206773784386074725,2274511628246821970

%N a(n) = (9*11^n+1)/2.

%H Vincenzo Librandi, <a href="/A199762/b199762.txt">Table of n, a(n) for n = 0..900</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-11).

%F a(n) = 11*a(n-1)-5.

%F a(n) = 12*a(n-1)-11*a(n-2).

%F G.f.: 5*(1-2*x)/((1-x)*(1-11*x)).

%t (9 11^Range[0,20]+1)/2 (* or *) LinearRecurrence[{12,-11},{5,50},20] (* _Harvey P. Dale_, Sep 07 2023 *)

%o (Magma) [(9*11^n+1)/2: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 10 2011

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Last modified April 25 11:06 EDT 2024. Contains 371967 sequences. (Running on oeis4.)