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 A166152 #11 Jun 30 2023 14:28:58 %S A166152 1,-6,48,-300,2316,-14916,112188,-738660,5450556,-36474276,265397628, %T A166152 -1797317220,12944017596,-88431340836,632080079868,-4346196394980, %U A166152 30893559749436,-213433808338596,1510963317814908 %N A166152 a(n) = (6^n+12*(-7)^n)/13. %H A166152 G. C. Greubel, <a href="/A166152/b166152.txt">Table of n, a(n) for n = 0..1000</a> %H A166152 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (-1, 42). %F A166152 a(n) = 42*a(n-2)-a(n-1), a(0)= 1, a(1)= -6, for n>1. %F A166152 G.f.: (1-5x)/(1+x-42*x^2). %F A166152 a(n)= Sum_{k, 0<=k<=n} A112555(n,k)*(-7)^k. %F A166152 E.g.f.: (1/13)*(exp(6*x) + 12*exp(-7*x)). - _G. C. Greubel_, May 01 2016 %t A166152 LinearRecurrence[{-1,42}, {1,-6}, 50] (* _G. C. Greubel_, May 01 2016 *) %t A166152 Table[(6^n+12*(-7)^n)/13,{n,0,30}] (* _Harvey P. Dale_, Jun 01 2019 *) %o A166152 (PARI) a(n)=(6^n+12*(-7)^n)/13 \\ _Charles R Greathouse IV_, May 02 2016 %Y A166152 Cf. A166035, A166036, A166149. %K A166152 easy,sign %O A166152 0,2 %A A166152 _Philippe Deléham_, Oct 08 2009