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 A138590 #26 Sep 08 2022 08:45:33 %S A138590 0,34,2584,196418,14930352,1134903170,86267571272,6557470319842, %T A138590 498454011879264,37889062373143906,2880067194370816120, %U A138590 218922995834555169026,16641027750620563662096,1264937032042997393488322,96151855463018422468774568 %N A138590 a(n) = Fibonacci(9*n). %H A138590 Colin Barker, <a href="/A138590/b138590.txt">Table of n, a(n) for n = 0..500</a> %H A138590 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (76,1). %F A138590 a(n) = 34*A049669(n). G.f.: -34*x / ( -1+76*x+x^2 ). - _R. J. Mathar_, Sep 30 2013 %F A138590 From _Colin Barker_, Apr 06 2017: (Start) %F A138590 a(n) = ((-38 - 17*sqrt(5))^(-n)*(-1 + (-2889 - 1292*sqrt(5))^n)) / sqrt(5). %F A138590 a(n) = 76*a(n-1) + a(n-2) for n > 1. %F A138590 (End) %t A138590 Table[Fibonacci[n],{n,0,200,9}] (* _Vladimir Joseph Stephan Orlovsky_, May 21 2011 *) %o A138590 (MuPAD) numlib::fibonacci(9*n) $ n = 0..25; %o A138590 (Magma) [Fibonacci(9*n): n in [0..50]]; // _Vincenzo Librandi_, Apr 20 2011 %o A138590 (PARI) concat(0, Vec(34*x / (1 - 76*x - x^2) + O(x^30))) \\ _Colin Barker_, Apr 06 2017 %Y A138590 Cf. A000045, A049669. %K A138590 nonn,easy %O A138590 0,2 %A A138590 _Zerinvary Lajos_, May 13 2008