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 A136336 #12 Jan 14 2019 18:04:23 %S A136336 1,2,4,7,15,27,59,107,235,427,939,1707,3755,6827,15019,27307,60075, %T A136336 109227,240299,436907,961195,1747627,3844779,6990507,15379115, %U A136336 27962027,61516459,111848107,246065835,447392427,984263339,1789569707,3937053355,7158278827 %N A136336 a(n) = a(n-1) + 4*a(n-2) - 4*a(n-3) for n>3. %H A136336 Colin Barker, <a href="/A136336/b136336.txt">Table of n, a(n) for n = 0..1000</a> %H A136336 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,4,-4). %F A136336 From _Colin Barker_, Mar 17 2017: (Start) %F A136336 G.f.: (1 + x - 2*x^2 - x^3) / ((1 - x)*(1 - 2*x)*(1 + 2*x)). %F A136336 a(n) = (8 + (-2)^n + 21*2^n) / 24 for n>0. %F A136336 (End) %t A136336 LinearRecurrence[{1,4,-4},{1,2,4,7},50] (* _Harvey P. Dale_, Jan 14 2019 *) %o A136336 (PARI) Vec((1 + x - 2*x^2 - x^3) / ((1 - x)*(1 - 2*x)*(1 + 2*x)) + O(x^50)) \\ _Colin Barker_, Mar 17 2017 %K A136336 nonn,easy %O A136336 0,2 %A A136336 _Paul Curtz_, Mar 28 2008