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%I #18 Dec 06 2023 11:14:39
%S 5,9,29,129,629,3129,15629,78129,390629,1953129,9765629,48828129,
%T 244140629,1220703129,6103515629,30517578129,152587890629,
%U 762939453129,3814697265629,19073486328129,95367431640629,476837158203129
%N a(n) = 5^n + 4.
%C Subsequence of A226810. [_Bruno Berselli_, May 13 2014]
%H Vincenzo Librandi, <a href="/A242329/b242329.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 (6,-5).
%F G.f.: (5-21*x)/(((1-x)*(1-5*x)).
%F a(n) = 6*a(n-1) - 5*a(n-2) for n > 1.
%F From _Elmo R. Oliveira_, Dec 06 2023: (Start)
%F a(n) = A000351(n)+4 = A034474(n)+3 = A242328(n)+2.
%F a(n) = 5*a(n-1) - 16 with a(0) = 5.
%F E.g.f.: exp(5*x) + 4*exp(x). (End)
%t Table[5^n + 4, {n, 0, 30}]
%o (Magma) [5^n+4: n in [0..30]];
%Y Cf. A000351, A003463, A034474, A132079, A178676, A226810, A242328, A253208 (similar sequence).
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, May 13 2014
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