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%I #30 Apr 11 2024 17:21:56
%S 14,9,23,32,55,87,142,229,371,600,971,1571,2542,4113,6655,10768,17423,
%T 28191,45614,73805,119419,193224,312643,505867,818510,1324377,2142887,
%U 3467264,5610151,9077415,14687566,23764981,38452547,62217528,100670075,162887603
%N Fibonacci sequence beginning 14, 9.
%H Vincenzo Librandi, <a href="/A206641/b206641.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature(1,1).
%F a(n) = 14*A000045(n) - 5*A000045(n-2). - _R. J. Mathar_, Feb 18 2012
%F From _Andrew Howroyd_, Aug 28 2018: (Start)
%F a(n) = a(n-1) + a(n-2) for n > 2.
%F a(n) = 14*Fibonacci(n) - 5*Fibonacci(n-1).
%F G.f.: x*(14 - 5*x)/(1 - x - x^2). (End)
%t LinearRecurrence[{1,1},{14,9},80]
%o (Magma) I:=[14, 9]; [n le 2 select I[n] else Self(n-1)+ Self(n-2): n in [1..40]]; \\ _Vincenzo Librandi_, Feb 18 2012
%o (PARI) Vec((14 - 5*x)/(1 - x - x^2) + O(x^30)) \\ _Andrew Howroyd_, Aug 28 2018
%Y Cf. A000045, A206564, A206605.
%K nonn,easy,changed
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Feb 16 2012
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