A138590 a(n) = Fibonacci(9*n).
0, 34, 2584, 196418, 14930352, 1134903170, 86267571272, 6557470319842, 498454011879264, 37889062373143906, 2880067194370816120, 218922995834555169026, 16641027750620563662096, 1264937032042997393488322, 96151855463018422468774568
Offset: 0
Links
- Colin Barker, Table of n, a(n) for n = 0..500
- Index entries for linear recurrences with constant coefficients, signature (76,1).
Programs
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Magma
[Fibonacci(9*n): n in [0..50]]; // Vincenzo Librandi, Apr 20 2011
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Mathematica
Table[Fibonacci[n],{n,0,200,9}] (* Vladimir Joseph Stephan Orlovsky, May 21 2011 *) -
MuPAD
numlib::fibonacci(9*n) $ n = 0..25;
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PARI
concat(0, Vec(34*x / (1 - 76*x - x^2) + O(x^30))) \\ Colin Barker, Apr 06 2017
Formula
a(n) = 34*A049669(n). G.f.: -34*x / ( -1+76*x+x^2 ). - R. J. Mathar, Sep 30 2013
From Colin Barker, Apr 06 2017: (Start)
a(n) = ((-38 - 17*sqrt(5))^(-n)*(-1 + (-2889 - 1292*sqrt(5))^n)) / sqrt(5).
a(n) = 76*a(n-1) + a(n-2) for n > 1.
(End)