cp's OEIS Frontend

A242328 a(n) = 5^n + 2.

%I A242328 #20 Dec 05 2023 01:36:53
%S A242328 3,7,27,127,627,3127,15627,78127,390627,1953127,9765627,48828127,
%T A242328 244140627,1220703127,6103515627,30517578127,152587890627,
%U A242328 762939453127,3814697265627,19073486328127,95367431640627,476837158203127,2384185791015627,11920928955078127
%N A242328 a(n) = 5^n + 2.
%H A242328 Vincenzo Librandi, <a href="/A242328/b242328.txt">Table of n, a(n) for n = 0..1000</a>
%H A242328 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,-5).
%F A242328 G.f.: (3-11*x)/((1-x)*(1-5*x)).
%F A242328 a(n) = 6*a(n-1) - 5*a(n-2) for n > 1.
%F A242328 From _Elmo R. Oliveira_, Dec 04 2023: (Start)
%F A242328 a(n) = A000351(n) + 2.
%F A242328 a(n) = 5*a(n-1) - 8 with a(0) = 3.
%F A242328 E.g.f.: exp(5*x) + 2*exp(x). (End)
%t A242328 Table[5^n + 2, {n, 0, 30}] (* or *) CoefficientList[Series[(3 - 11 x)/((1 - x) (1 - 5 x)), {x, 0, 30}], x]
%t A242328 LinearRecurrence[{6,-5},{3,7},30] (* _Harvey P. Dale_, Jun 30 2022 *)
%o A242328 (Magma) [5^n+2: n in [0..30]];
%Y A242328 Cf. A000351, A003463, A034474, A132079, A178676, A242329.
%K A242328 nonn,easy
%O A242328 0,1
%A A242328 _Vincenzo Librandi_, May 13 2014