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5*7^n+1.
1

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

%S 6,36,246,1716,12006,84036,588246,4117716,28824006,201768036,

%T 1412376246,9886633716,69206436006,484445052036,3391115364246,

%U 23737807549716,166164652848006,1163152569936036,8142067989552246,56994475926865716

%N 5*7^n+1.

%H Vincenzo Librandi, <a href="/A199422/b199422.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) = 6*A083067(n).

%F a(n) = 7*a(n-1)-6.

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

%F G.f.: 6*(1-2*x)/((1-x)*(1-7*x)).

%t 5*7^Range[0,20]+1 (* or *) LinearRecurrence[{8,-7},{6,36},20] (* _Harvey P. Dale_, Dec 23 2012 *)

%o (Magma) [5*7^n+1: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 07 2011