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 A165752 #11 Apr 08 2016 03:10:20 %S A165752 1,-4,-24,-104,-424,-1704,-6824,-27304,-109224,-436904,-1747624, %T A165752 -6990504,-27962024,-111848104,-447392424,-1789569704,-7158278824, %U A165752 -28633115304,-114532461224,-458129844904,-1832519379624,-7330077518504 %N A165752 a(n) = (8-5*4^n)/3. %H A165752 G. C. Greubel, <a href="/A165752/b165752.txt">Table of n, a(n) for n = 0..500</a> %H A165752 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4). %F A165752 a(n) = 4*a(n-1) - 8, a(0)=1. %F A165752 a(n) = 5*a(n-1) - 4*a(n-2), a(0)=1, a(1)=-4, for n>1. %F A165752 G.f.: (1-9x)/(1-5x+4x^2). %F A165752 a(n) = Sum_{0<=k<=n} A112555(n,k)*(-5)^(n-k). %F A165752 a(n) = (-4)*A020989(n-1). %F A165752 E.g.f.: (1/3)*(8*exp(x) - 5*exp(4*x)). - _G. C. Greubel_, Apr 07 2016 %t A165752 (8-5*4^Range[0,30])/3 (* or *) LinearRecurrence[{5,-4},{1,-4},30] (* _Harvey P. Dale_, Jan 10 2016 *) %o A165752 (PARI) x='x+O('x^99); Vec((1-9*x)/(1-5*x+4*x^2)) \\ _Altug Alkan_, Apr 07 2016 %K A165752 easy,sign %O A165752 0,2 %A A165752 _Philippe Deléham_, Sep 26 2009