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 A165750 #10 Apr 08 2016 03:19:46 %S A165750 1,10,-80,820,-8180,81820,-818180,8181820,-81818180,818181820, %T A165750 -8181818180,81818181820,-818181818180,8181818181820,-81818181818180, %U A165750 818181818181820,-8181818181818180,81818181818181820 %N A165750 a(n) = (10/11)*(2+9*(-10)^(n-1)). %H A165750 G. C. Greubel, <a href="/A165750/b165750.txt">Table of n, a(n) for n = 0..500</a> %H A165750 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (-9, 10). %F A165750 a(n) = -9*a(n-1) + 10*a(n-2), a(0)=1, a(1)=10. %F A165750 a(n) = (-10)*a(n-1) + 20 for n>=1, a(0)=1. %F A165750 G.f.: (1+19x)/(1+9x-10x^2). %F A165750 a(n)= Sum_{0<=k<=n} A112555(n,k)*9^(n-k). %F A165750 E.g.f.: (1/11)*(20*exp(x) - 9*exp(-10*x)). - _G. C. Greubel_, Apr 07 2016 %t A165750 Table[(10/11)*(2 + 9*(-10)^(n - 1)), {n, 0, 50}] (* or *) %t A165750 LinearRecurrence[{-9,10}, {1,10}, 50] (* _G. C. Greubel_, Apr 07 2016 *) %o A165750 (PARI) x='x+O('x^99); Vec((1+19*x)/(1+9*x-10*x^2)) \\ _Altug Alkan_, Apr 07 2016 %K A165750 easy,sign %O A165750 0,2 %A A165750 _Philippe Deléham_, Sep 26 2009