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 A165748 #14 Apr 07 2016 16:10:43 %S A165748 1,8,-48,400,-3184,25488,-203888,1631120,-13048944,104391568, %T A165748 -835132528,6681060240,-53448481904,427587855248,-3420702841968, %U A165748 27365622735760,-218924981886064,1751399855088528,-14011198840708208 %N A165748 a(n) = (8/9)*(2+7*(-8)^(n-1)). %H A165748 G. C. Greubel, <a href="/A165748/b165748.txt">Table of n, a(n) for n = 0..500</a> %H A165748 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (-7,8). %F A165748 a(n) = (-8)*a(n-1) + 16 for n>=1, with a(0) = 1. %F A165748 a(n) = 8*a(n-2) - 7*a(n-1), a(0)=1, a(1)=8. %F A165748 G.f.: (1+15x)/(1+7x-8x^2). %F A165748 a(n) = Sum_{0<=k<=n} A112555(n,k)*7^(n-k). %F A165748 From _G. C. Greubel_, Apr 07 2016: (Start) %F A165748 a(n) = -7*a(n-1) + 8*a(n-2). %F A165748 E.g.f.: (1/9)*(16*exp(x) - 7*exp(-8*x)). (End) %t A165748 Table[(8/9)*(2 + 7*(-8)^(n - 1)), {n, 0, 100}] or %t A165748 LinearRecurrence[{-7,8}, {1,8}, 100] (* _G. C. Greubel_, Apr 07 2016 *) %o A165748 (PARI) x='x+O('x^99); Vec((1+15*x)/(1+7*x-8*x^2)) \\ _Altug Alkan_, Apr 07 2016 %K A165748 easy,sign %O A165748 0,2 %A A165748 _Philippe Deléham_, Sep 26 2009