This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A242329 #24 Mar 15 2025 12:54:53 %S A242329 5,9,29,129,629,3129,15629,78129,390629,1953129,9765629,48828129, %T A242329 244140629,1220703129,6103515629,30517578129,152587890629, %U A242329 762939453129,3814697265629,19073486328129,95367431640629,476837158203129,2384185791015629,11920928955078129 %N A242329 a(n) = 5^n + 4. %C A242329 Subsequence of A226810. - _Bruno Berselli_, May 13 2014 %H A242329 Vincenzo Librandi, <a href="/A242329/b242329.txt">Table of n, a(n) for n = 0..1000</a> %H A242329 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,-5). %F A242329 G.f.: (5-21*x)/((1-x)*(1-5*x)). %F A242329 a(n) = 6*a(n-1) - 5*a(n-2) for n > 1. %F A242329 From _Elmo R. Oliveira_, Dec 06 2023: (Start) %F A242329 a(n) = A000351(n)+4 = A034474(n)+3 = A242328(n)+2. %F A242329 a(n) = 5*a(n-1) - 16 with a(0) = 5. %F A242329 E.g.f.: exp(5*x) + 4*exp(x). (End) %t A242329 Table[5^n + 4, {n, 0, 30}] %t A242329 LinearRecurrence[{6,-5},{5,9},30] (* _Harvey P. Dale_, Mar 15 2025 *) %o A242329 (Magma) [5^n+4: n in [0..30]]; %Y A242329 Cf. A000351, A003463, A034474, A132079, A178676, A226810, A242328, A253208 (similar sequence). %K A242329 nonn,easy %O A242329 0,1 %A A242329 _Vincenzo Librandi_, May 13 2014