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A206605 Fibonacci sequence beginning 14, 11. 3

%I #29 Sep 08 2022 08:46:01

%S 14,11,25,36,61,97,158,255,413,668,1081,1749,2830,4579,7409,11988,

%T 19397,31385,50782,82167,132949,215116,348065,563181,911246,1474427,

%U 2385673,3860100,6245773,10105873,16351646,26457519,42809165,69266684,112075849,181342533

%N Fibonacci sequence beginning 14, 11.

%H Vincenzo Librandi, <a href="/A206605/b206605.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) = Fibonacci(n+5) + Fibonacci(n) + Fibonacci(n-6). - _Greg Dresden_ and _Aamen Muharram_, Jul 22 2022

%F G.f.: x*(14 - 3*x)/(1 - x - x^2). - _Stefano Spezia_, Jul 22 2022

%t LinearRecurrence[{1,1},{14,11},80]

%o (Magma) I:=[14, 11]; [n le 2 select I[n] else Self(n-1)+ Self(n-2): n in [1..40]]; // _Vincenzo Librandi_, Feb 16 2012

%Y Cf. A000045, A206564.

%K nonn,easy

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Feb 16 2012

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Last modified June 5 22:26 EDT 2024. Contains 373110 sequences. (Running on oeis4.)