%I #16 Sep 08 2022 08:46:00
%S 3,38,423,4658,51243,563678,6200463,68205098,750256083,8252816918,
%T 90780986103,998590847138,10984499318523,120829492503758,
%U 1329124417541343,14620368592954778,160824054522502563,1769064599747528198
%N (7*11^n-1)/2.
%H Vincenzo Librandi, <a href="/A199025/b199025.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), n>1.
%F G.f.: (3 + 2*x)/(1 - 12*x + 11*x^2). - _Vincenzo Librandi_, Jan 04 2013
%t CoefficientList[Series[(3 + 2*x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Jan 04 2013 *)
%t LinearRecurrence[{12,-11},{3,38},30] (* _Harvey P. Dale_, Dec 12 2020 *)
%o (Magma) [(7*11^n-1)/2 : n in [0..20]]
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Nov 02 2011