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%I #18 Sep 08 2022 08:46:00
%S 10,54,274,1374,6874,34374,171874,859374,4296874,21484374,107421874,
%T 537109374,2685546874,13427734374,67138671874,335693359374,
%U 1678466796874,8392333984374,41961669921874,209808349609374,1049041748046874
%N 11*5^n-1.
%H Vincenzo Librandi, <a href="/A198770/b198770.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 (6,-5).
%F a(n) = 5*a(n-1)+4.
%F a(n)= = 6*a(n-1)-5*a(n-2), n>1.
%F G.f.: 2*(5 - 3*x)/(1 - 6*x + 5*x^2). - _Vincenzo Librandi_, Jan 04 2013
%t CoefficientList[Series[2*(5 - 3*x)/(1 - 6*x + 5*x^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Jan 04 2013 *)
%t 11*5^Range[0,20]-1 (* or *) LinearRecurrence[{6,-5},{10,54},30] (* _Harvey P. Dale_, May 14 2019 *)
%o (Magma) [11*5^n-1: n in [0..30]];
%Y Cf. A024049, A057651, A081655.
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Oct 30 2011
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