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Fibonacci sequence beginning 5, 12.
5

%I #21 Oct 16 2017 12:23:41

%S 5,12,17,29,46,75,121,196,317,513,830,1343,2173,3516,5689,9205,14894,

%T 24099,38993,63092,102085,165177,267262,432439,699701,1132140,1831841,

%U 2963981,4795822,7759803,12555625,20315428,32871053,53186481,86057534,139244015

%N Fibonacci sequence beginning 5, 12.

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1).

%F G.f.: (5+7*x)/(1-x-x^2). - _Philippe Deléham_, Nov 20 2008

%F a(n) = Lucas(n + 4) - Fibonacci(n - 3). - _Ehren Metcalfe_, Oct 16 2017

%t a={};b=5;c=12;AppendTo[a, b];AppendTo[a, c];Do[b=b+c;AppendTo[a, b];c=b+c;AppendTo[a, c], {n, 4!}];a (* _Vladimir Joseph Stephan Orlovsky_, Sep 17 2008 *)

%Y Cf. A000032.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_