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 A156160 #6 Jun 13 2015 00:53:00 %S A156160 169,2809,93025,3157729,107267449,3643933225,123786459889, %T A156160 4205095700689,142849467361225,4852676794578649,164848161548310529, %U A156160 5599984815847977025,190234635577282906009,6462377624811770824969 %N A156160 a(n) = 34*a(n-1)-a(n-2)-2312 for n > 2; a(1)=169, a(2)=2809. %C A156160 lim_{n -> infinity} a(n)/a(n-1) = (17+12*sqrt(2)). %H A156160 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (35, -35, 1). %F A156160 a(n) = (578+ (2211-1550*sqrt(2))*(17+12*sqrt(2))^n+(2211+1550*sqrt(2))*(17-12*sqrt(2))^n)/8. %F A156160 G.f.: x*(169-3106*x+625*x^2)/((1-x)*(1-34*x+x^2)). %e A156160 a(3) = 34*a(2)-a(1)-2312 = 34*2809-169-2312 = 93025. %t A156160 LinearRecurrence[{35,-35,1},{169,2809,93025},20] (* _Harvey P. Dale_, Nov 15 2014 *) %o A156160 (PARI) {m=14; v=concat([169, 2809], vector(m-2)); for(n=3, m, v[n]=34*v[n-1]-v[n-2]-2312); v} %Y A156160 First trisection of A156159. %Y A156160 Cf. A156164 (decimal expansion of (17+12*sqrt(2))). %K A156160 nonn %O A156160 1,1 %A A156160 _Klaus Brockhaus_, Feb 09 2009 %E A156160 G.f. corrected by _Klaus Brockhaus_, Sep 23 2009