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A199491 (11*7^n+1)/2. 1

%I #13 Sep 08 2022 08:46:00

%S 6,39,270,1887,13206,92439,647070,4529487,31706406,221944839,

%T 1553613870,10875297087,76127079606,532889557239,3730226900670,

%U 26111588304687,182781118132806,1279467826929639,8956274788507470,62693923519552287

%N (11*7^n+1)/2.

%H Vincenzo Librandi, <a href="/A199491/b199491.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 (8,-7).

%F a(n) = 7*a(n-1)-3.

%F a(n) = 8*a(n-1)-7*a(n-2).

%F G.f.: 3*(2-3*x)/((1-x)*(1-7*x)).

%t (11*7^Range[0,30]+1)/2 (* or *) LinearRecurrence[{8,-7},{6,39},30] (* _Harvey P. Dale_, Jan 23 2013 *)

%o (Magma) [(11*7^n+1)/2: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 07 2011

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)