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 A163062 #17 Sep 08 2022 08:45:46
%S A163062 3,8,28,88,288,928,3008,9728,31488,101888,329728,1067008,3452928,
%T A163062 11173888,36159488,117014528,378667008,1225392128,3965452288,
%U A163062 12832473088,41526755328,134383403008,434873827328,1407281266688
%N A163062 a(n) = ((3+sqrt(5))*(1+sqrt(5))^n + (3-sqrt(5))*(1-sqrt(5))^n)/2.
%C A163062 Binomial transform of A163114. Inverse binomial transform of A163063.
%H A163062 G. C. Greubel, <a href="/A163062/b163062.txt">Table of n, a(n) for n = 0..1000</a>
%H A163062 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,4).
%F A163062 a(n) = 2*a(n-1) + 4*a(n-2) for n > 1; a(0) = 3, a(1) = 8.
%F A163062 G.f.: (3+2*x)/(1-2*x-4*x^2).
%F A163062 a(n) = 2^n * A000032(n+2). - _Diego Rattaggi_, Jun 17 2020
%t A163062 CoefficientList[Series[(3+2*x)/(1-2*x-4*x^2), {x,0,50}], x] (* or *) LinearRecurrence[{2,4}, {3,8}, 30] (* _G. C. Greubel_, Dec 22 2017 *)
%o A163062 (Magma) Z<x>:=PolynomialRing(Integers()); N<r>:=NumberField(x^2-5); S:=[ ((3+r)*(1+r)^n+(3-r)*(1-r)^n)/2: n in [0..23] ]; [ Integers()!S[j]: j in [1..#S] ]; // _Klaus Brockhaus_, Jul 21 2009
%o A163062 (Magma) I:=[3,8]; [n le 2 select I[n] else 2*Self(n-1) + 4*Self(n-2): n in [1..30]]; // _G. C. Greubel_, Dec 22 2017
%o A163062 (PARI) x='x+O('x^30); Vec((3+2*x)/(1-2*x-4*x^2)) \\ _G. C. Greubel_, Dec 22 2017
%Y A163062 Cf. A000032, A163063, A163114.
%K A163062 nonn
%O A163062 0,1
%A A163062 Al Hakanson (hawkuu(AT)gmail.com), Jul 20 2009
%E A163062 Edited and extended beyond a(5) by _Klaus Brockhaus_, Jul 21 2009