%I #17 Oct 20 2022 07:57:15
%S 5,41,401,4001,40001,400001,4000001,40000001,400000001,4000000001,
%T 40000000001,400000000001,4000000000001,40000000000001,
%U 400000000000001,4000000000000001,40000000000000001,400000000000000001,4000000000000000001
%N a(n) = 4*10^n+1.
%H Vincenzo Librandi, <a href="/A199684/b199684.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 (11,-10).
%F a(n) = 10*a(n-1)-9.
%F a(n) = 11*a(n-1)-10*a(n-2).
%F G.f.: (5-14*x)/((1-x)*(1-10*x)).
%F E.g.f.: exp(x) + 4*exp(10*x). - _Stefano Spezia_, Oct 20 2022
%o (Magma) [4*10^n+1: n in [0..30]];
%Y Cf. A000533, A011557.
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Nov 09 2011
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