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A199413 9*6^n+1. 1

%I #12 Sep 08 2022 08:46:00

%S 10,55,325,1945,11665,69985,419905,2519425,15116545,90699265,

%T 544195585,3265173505,19591041025,117546246145,705277476865,

%U 4231664861185,25389989167105,152339935002625,914039610015745,5484237660094465,32905425960566785

%N 9*6^n+1.

%H Vincenzo Librandi, <a href="/A199413/b199413.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (7,-6).

%F a(n) = 6*a(n-1)-5.

%F a(n) = 7*a(n-1)-6*a(n-2).

%F G.f.: 5*(2-3*x)/((1-x)*(1-6*x)).

%t NestList[6#-5&,10,20] (* or *) LinearRecurrence[{7,-6},{10,55},30] (* _Harvey P. Dale_, Sep 28 2012 *)

%o (Magma) [9*6^n+1: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 06 2011

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Last modified April 16 16:09 EDT 2024. Contains 371749 sequences. (Running on oeis4.)