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%I
%S 2,11,56,281,1406,7031,35156,175781,878906,4394531,21972656,109863281,
%T 549316406,2746582031,13732910156,68664550781,343322753906,
%U 1716613769531,8583068847656,42915344238281,214576721191406,1072883605957031
%N (9*5^n-1)/4.
%H Vincenzo Librandi, <a href="/A198769/b198769.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)+1. a(n) = 6*a(n-1)-5*a(n-2), n>1.
%F G.f.: (2-x)/(5*x^2-6*x+1) [From Harvey P. Dale, May 07 2012]
%t (9*5^Range[0,30]-1)/4 (* or *) LinearRecurrence[{6,-5},{2,11},30] (* _Harvey P. Dale_, May 07 2012 *)
%o (MAGMA) [(9*5^n-1)/4: 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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