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 A153465 #27 Sep 14 2024 15:50:27
%S A153465 34,142,574,2302,9214,36862,147454,589822,2359294,9437182,37748734,
%T A153465 150994942,603979774,2415919102,9663676414,38654705662,154618822654,
%U A153465 618475290622,2473901162494,9895604649982,39582418599934,158329674399742,633318697598974,2533274790395902
%N A153465 a(n) = 9*4^n - 2.
%H A153465 Vincenzo Librandi, <a href="/A153465/b153465.txt">Table of n, a(n) for n = 1..1000</a>
%H A153465 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4).
%F A153465 a(n) = A002063(n) - 2. - _R. J. Mathar_, Jan 03 2009
%F A153465 a(n) = 5*a(n-1) - 4*a(n-2).
%F A153465 G.f.: x*(34-28*x)/((1-x)*(1-4*x)). - _Vincenzo Librandi_, May 03 2014
%F A153465 E.g.f.: 9*exp(4*x) - 2*exp(x) - 7. - _Stefano Spezia_, Sep 14 2024
%t A153465 LinearRecurrence[{5, -4}, {34, 142}, 50] (* _Vincenzo Librandi_, Feb 22 2012 *)
%t A153465 CoefficientList[Series[(34 - 28 x )/((1 - x) (1 - 4 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, May 03 2014 *)
%o A153465 (PARI) a(n)=9*4^n-2; \\ _Charles R Greathouse IV_, Jan 11 2012
%o A153465 (Magma) I:=[34, 142]; [n le 2 select I[n] else 5*Self(n-1)-4*Self(n-2): n in [1..50]]; // _Vincenzo Librandi_, Feb 22 2012
%Y A153465 Cf. A002063.
%K A153465 nonn,easy
%O A153465 1,1
%A A153465 _Vincenzo Librandi_, Dec 27 2008