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11*8^n+1.
1

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

%S 12,89,705,5633,45057,360449,2883585,23068673,184549377,1476395009,

%T 11811160065,94489280513,755914244097,6047313952769,48378511622145,

%U 387028092977153,3096224743817217,24769797950537729,198158383604301825

%N 11*8^n+1.

%H Vincenzo Librandi, <a href="/A199558/b199558.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 (9,-8).

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

%F a(n) = 9*a(n-1)-8*a(n-2).

%F G.f.: (12-19*x)/((1-x)*(1-8*x)).

%t 11*8^Range[0,20]+1 (* or *) LinearRecurrence[{9,-8},{12,89},20] (* _Harvey P. Dale_, Sep 15 2016 *)

%o (Magma) [11*8^n+1: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 08 2011