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%I #29 Sep 08 2022 08:46:01
%S 14,13,27,40,67,107,174,281,455,736,1191,1927,3118,5045,8163,13208,
%T 21371,34579,55950,90529,146479,237008,383487,620495,1003982,1624477,
%U 2628459,4252936,6881395,11134331,18015726,29150057,47165783,76315840,123481623,199797463
%N Fibonacci sequence beginning 14, 13.
%H Vincenzo Librandi, <a href="/A206564/b206564.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 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) - Fibonacci(n-1).
%F G.f.: x*(14 - x)/(1 - x - x^2).
%F (End)
%t LinearRecurrence[{1,1},{14,13},80]
%o (Magma) I:=[14, 13]; [n le 2 select I[n] else Self(n-1)+Self(n-2): n in [1..40]]; // _Vincenzo Librandi_, Feb 17 2012
%o (PARI) Vec((14 - x)/(1 - x - x^2) + O(x^30)) \\ _Andrew Howroyd_, Aug 28 2018
%Y Cf. A000045, A206605.
%K nonn,easy
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Feb 16 2012
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