cp's OEIS Frontend

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.

A138590 a(n) = Fibonacci(9*n).

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%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