|
%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_.
|
