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 A090728 #28 Dec 07 2019 12:18:24 %S A090728 2,20,398,7940,158402,3160100,63043598,1257711860,25091193602, %T A090728 500566160180,9986232009998,199224074039780,3974495248785602, %U A090728 79290680901672260,1581839122784659598,31557491774791519700,629567996373045734402,12559802435686123168340 %N A090728 a(n) = 20*a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 20. %C A090728 Except for the first term, positive values of x (or y) satisfying x^2 - 20xy + y^2 + 396 = 0. - _Colin Barker_, Feb 28 2014 %H A090728 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a> %H A090728 <a href="/index/Rea#recur1">Index entries for recurrences a(n) = k*a(n - 1) +/- a(n - 2)</a> %H A090728 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (20,-1). %F A090728 a(n) = p^n + q^n, where p = 10 + 3*sqrt(11) and q = 10 - 3*sqrt(11). - _Tanya Khovanova_, Feb 06 2007 %F A090728 G.f.: (2-20*x)/(1-20*x+x^2). - _Philippe Deléham_, Nov 02 2008 %t A090728 a[0] = 2; a[1] = 20; a[n_] := 20a[n - 1] - a[n - 2]; Table[ a[n], {n, 0, 15}] (* _Robert G. Wilson v_, Jan 30 2004 *) %o A090728 (Sage) [lucas_number2(n,20,1) for n in range(0,20)] # _Zerinvary Lajos_, Jun 27 2008 %o A090728 (PARI) Vec((2-20*x)/(1-20*x+x^2) + O(x^100)) \\ _Colin Barker_, Feb 28 2014 %Y A090728 Cf. A080959, A037035, A054877. %Y A090728 Cf. A001085. %K A090728 easy,nonn %O A090728 0,1 %A A090728 Nikolay V. Kosinov (kosinov(AT)unitron.com.ua), Jan 18 2004 %E A090728 More terms from _Robert G. Wilson v_, Jan 30 2004 %E A090728 More terms from _Colin Barker_, Feb 28 2014