%I #23 Aug 16 2024 08:36:08
%S 10,65,395,2375,14255,85535,513215,3079295,18475775,110854655,
%T 665127935,3990767615,23944605695,143667634175,862005805055,
%U 5172034830335,31032208982015,186193253892095,1117159523352575,6702957140115455,40217742840692735
%N a(n) = 11*6^n - 1.
%H Vincenzo Librandi, <a href="/A198848/b198848.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 (7,-6).
%F a(n) = 6*a(n-1)+5. a(n) = 7*a(n-1)-6*a(n-2), n>1.
%F From _Elmo R. Oliveira_, Aug 14 2024: (Start)
%F G.f.: (10-5*x)/((1-x)*(1-6*x)).
%F E.g.f.: exp(x)*(11*exp(5*x) - 1). (End)
%o (Magma) [11*6^n-1: n in [0..30]];
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Oct 31 2011