This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A199024 #20 Mar 07 2025 16:13:42
%S A199024 5,65,725,7985,87845,966305,10629365,116923025,1286153285,14147686145,
%T A199024 155624547605,1711870023665,18830570260325,207136272863585,
%U A199024 2278499001499445,25063489016493905,275698379181432965,3032682170995762625,33359503880953388885,366954542690487277745
%N A199024 a(n) = 6*11^n - 1.
%H A199024 Vincenzo Librandi, <a href="/A199024/b199024.txt">Table of n, a(n) for n = 0..900</a>
%H A199024 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-11).
%F A199024 a(n) = 11*a(n-1) + 10.
%F A199024 a(n) = 12*a(n-1) - 11*a(n-2), n > 1.
%F A199024 G.f.: 5*(1 + x)/(1 - 12*x + 11*x^2). - _Vincenzo Librandi_, Jan 04 2013
%F A199024 From _Elmo R. Oliveira_, Mar 02 2025: (Start)
%F A199024 E.g.f.: exp(x)*(6*exp(10*x) - 1).
%F A199024 a(n) = 5*A199023(n). (End)
%t A199024 CoefficientList[Series[5*(1 + x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Jan 04 2013 *)
%o A199024 (Magma) [6*11^n-1 : n in [0..20]];
%Y A199024 Cf. A199023.
%K A199024 nonn,easy
%O A199024 0,1
%A A199024 _Vincenzo Librandi_, Nov 02 2011