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Fibonacci sequence beginning 5, 19.
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%I #13 Jul 30 2015 17:23:07

%S 5,19,24,43,67,110,177,287,464,751,1215,1966,3181,5147,8328,13475,

%T 21803,35278,57081,92359,149440,241799,391239,633038,1024277,1657315,

%U 2681592,4338907,7020499,11359406

%N Fibonacci sequence beginning 5, 19.

%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 From _Alois P. Heinz_, Jul 31 2008: (Start)

%F G.f.: (5+14*x)/(1-x-x^2).

%F a(n) = term (1,1) in the 1x2 matrix [5,14] . [1,1; 1,0]^n. (End)

%p a:= n -> (Matrix([[5,14]]).Matrix([[1,1],[1,0]])^n)[1,1]:

%p seq(a(n), n=0..35); # _Alois P. Heinz_, Jul 31 2008

%t a={};b=5;c=19;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 *)

%K nonn

%O 0,1

%A _N. J. A. Sloane_.